Class 9 Exam > Class 9 Notes > Mathematics (Maths) Class 9 > RD Sharma MCQs: Triangle and its Angles
RD Sharma MCQs: Triangle and its Angles | Mathematics (Maths) Class 9 PDF Download
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1
Question:41
Mark the correct alternative in each of the following:
If all the three angles of a triangle are equal, then each one of them is equal to
a
90°
b
45°
c
60°
d
30°
Solution:
In a given ?ABC we are given that the three angles are equal. So,
According to the angle sum property of a triangle, in ?ABC
Therefore, all the three angles of the triangle are equal to
So, the correct option is
c.
Question:42
If two acute angles of a right triangle are equal, then each acute is equal to
a
30°
b
45°
c
60°
d
90°
Solution:
In the given problem, we have a right angled triangle and the other two angles are equal.
So, In ?ABC
Page 2
Question:41
Mark the correct alternative in each of the following:
If all the three angles of a triangle are equal, then each one of them is equal to
a
90°
b
45°
c
60°
d
30°
Solution:
In a given ?ABC we are given that the three angles are equal. So,
According to the angle sum property of a triangle, in ?ABC
Therefore, all the three angles of the triangle are equal to
So, the correct option is
c.
Question:42
If two acute angles of a right triangle are equal, then each acute is equal to
a
30°
b
45°
c
60°
d
90°
Solution:
In the given problem, we have a right angled triangle and the other two angles are equal.
So, In ?ABC
Now, using the angle sum property of the triangle, in ?ABC, we get,
( )
Therefore, the correct option is
b.
Question:43
An exterior angle of a triangle is equal to 100° and two interior opposite angles are equal. Each of these angles is equal to
a
75°
b
80°
c
40°
d
50°
Solution:
In the ?ABC, CD is the ray extended from the vertex C of ?ABC. It is given that the exterior angle of the triangle is and two of the interior opposite angles are equal.
So, and
.
So, now using the property, “an exterior angle of the triangle is equal to the sum of the two opposite interior angles”, we get.
In ?ABC
Therefore, each of the two opposite interior angles is
So, the correct option is
d.
Question:44
If one angle of a triangle is equal to the sum of the other two angles, then the triangle is
a
an isosceles triangle
b
an obtuse triangle
c
an equilateral triangle
d
a right triangle
Solution:
In the given problem, one angle of a triangle is equal to the sum of the other two angles.
Thus,
..........1
Now, according to the angle sum property of the triangle
In ?ABC
Page 3
Question:41
Mark the correct alternative in each of the following:
If all the three angles of a triangle are equal, then each one of them is equal to
a
90°
b
45°
c
60°
d
30°
Solution:
In a given ?ABC we are given that the three angles are equal. So,
According to the angle sum property of a triangle, in ?ABC
Therefore, all the three angles of the triangle are equal to
So, the correct option is
c.
Question:42
If two acute angles of a right triangle are equal, then each acute is equal to
a
30°
b
45°
c
60°
d
90°
Solution:
In the given problem, we have a right angled triangle and the other two angles are equal.
So, In ?ABC
Now, using the angle sum property of the triangle, in ?ABC, we get,
( )
Therefore, the correct option is
b.
Question:43
An exterior angle of a triangle is equal to 100° and two interior opposite angles are equal. Each of these angles is equal to
a
75°
b
80°
c
40°
d
50°
Solution:
In the ?ABC, CD is the ray extended from the vertex C of ?ABC. It is given that the exterior angle of the triangle is and two of the interior opposite angles are equal.
So, and
.
So, now using the property, “an exterior angle of the triangle is equal to the sum of the two opposite interior angles”, we get.
In ?ABC
Therefore, each of the two opposite interior angles is
So, the correct option is
d.
Question:44
If one angle of a triangle is equal to the sum of the other two angles, then the triangle is
a
an isosceles triangle
b
an obtuse triangle
c
an equilateral triangle
d
a right triangle
Solution:
In the given problem, one angle of a triangle is equal to the sum of the other two angles.
Thus,
..........1
Now, according to the angle sum property of the triangle
In ?ABC
.........2
Further, using
2 in
1,
Thus,
Therefore, the correct option is
d.
Question:45
Side BC of a triangle ABC has been produced to a point D such that ?ACD = 120°. If ?B =
1
2
?A is equal to
a
80°
b
75°
c
60°
d
90°
Solution:
In the given problem, side BC of ?ABC has been produced to a point D. Such that and . Here, we need to find
Given
We get,
Now, using the property, “exterior angle of a triangle is equal to the sum of two opposite interior angles”, we get,
In ?ABC
Also,
Using1
Thus,
Therefore, the correct option is a
.
Question:46
In ?ABC, ?B = ?C and ray AX bisects the exterior angle ?DAC. If ?DAX = 70°, then ?ACB =
a
35°
b
90°
c
70°
d
55°
Solution:
In the given ?ABC, . D is the ray extended from point A. AX bisects and
Here, we need to find
Page 4
Question:41
Mark the correct alternative in each of the following:
If all the three angles of a triangle are equal, then each one of them is equal to
a
90°
b
45°
c
60°
d
30°
Solution:
In a given ?ABC we are given that the three angles are equal. So,
According to the angle sum property of a triangle, in ?ABC
Therefore, all the three angles of the triangle are equal to
So, the correct option is
c.
Question:42
If two acute angles of a right triangle are equal, then each acute is equal to
a
30°
b
45°
c
60°
d
90°
Solution:
In the given problem, we have a right angled triangle and the other two angles are equal.
So, In ?ABC
Now, using the angle sum property of the triangle, in ?ABC, we get,
( )
Therefore, the correct option is
b.
Question:43
An exterior angle of a triangle is equal to 100° and two interior opposite angles are equal. Each of these angles is equal to
a
75°
b
80°
c
40°
d
50°
Solution:
In the ?ABC, CD is the ray extended from the vertex C of ?ABC. It is given that the exterior angle of the triangle is and two of the interior opposite angles are equal.
So, and
.
So, now using the property, “an exterior angle of the triangle is equal to the sum of the two opposite interior angles”, we get.
In ?ABC
Therefore, each of the two opposite interior angles is
So, the correct option is
d.
Question:44
If one angle of a triangle is equal to the sum of the other two angles, then the triangle is
a
an isosceles triangle
b
an obtuse triangle
c
an equilateral triangle
d
a right triangle
Solution:
In the given problem, one angle of a triangle is equal to the sum of the other two angles.
Thus,
..........1
Now, according to the angle sum property of the triangle
In ?ABC
.........2
Further, using
2 in
1,
Thus,
Therefore, the correct option is
d.
Question:45
Side BC of a triangle ABC has been produced to a point D such that ?ACD = 120°. If ?B =
1
2
?A is equal to
a
80°
b
75°
c
60°
d
90°
Solution:
In the given problem, side BC of ?ABC has been produced to a point D. Such that and . Here, we need to find
Given
We get,
Now, using the property, “exterior angle of a triangle is equal to the sum of two opposite interior angles”, we get,
In ?ABC
Also,
Using1
Thus,
Therefore, the correct option is a
.
Question:46
In ?ABC, ?B = ?C and ray AX bisects the exterior angle ?DAC. If ?DAX = 70°, then ?ACB =
a
35°
b
90°
c
70°
d
55°
Solution:
In the given ?ABC, . D is the ray extended from point A. AX bisects and
Here, we need to find
As ray AX bisects
Thus,
Now, according to the property, “exterior angle of a triangle is equal to the sum of two opposite interior angles”, we get,
Thus,
Therefore, the correct option is
c.
Question:47
In a triangle, an exterior angle at a vertex is 95° and its one of the interior opposite angle is 55°, then the measure of the other interior angle is
a
55°
b
85°
c
40°
d
9.0°
Solution:
In the given ?ABC, and
Now, according to the property, “exterior angle of a triangle is equal to the sum of two opposite interior angles”, we get,
So,
Therefore, the correct option is
c.
Question:48
If the sides of a triangle are produced in order, then the sum of the three exterior angles so formed is
a
90°
b
180°
c
270°
d
360°
Solution:
In the given ?ABC, all the three sides of the triangle are produced. We need to find the sum of the three exterior angles so produced.
Now, according to the angle sum property of the triangle
Page 5
Question:41
Mark the correct alternative in each of the following:
If all the three angles of a triangle are equal, then each one of them is equal to
a
90°
b
45°
c
60°
d
30°
Solution:
In a given ?ABC we are given that the three angles are equal. So,
According to the angle sum property of a triangle, in ?ABC
Therefore, all the three angles of the triangle are equal to
So, the correct option is
c.
Question:42
If two acute angles of a right triangle are equal, then each acute is equal to
a
30°
b
45°
c
60°
d
90°
Solution:
In the given problem, we have a right angled triangle and the other two angles are equal.
So, In ?ABC
Now, using the angle sum property of the triangle, in ?ABC, we get,
( )
Therefore, the correct option is
b.
Question:43
An exterior angle of a triangle is equal to 100° and two interior opposite angles are equal. Each of these angles is equal to
a
75°
b
80°
c
40°
d
50°
Solution:
In the ?ABC, CD is the ray extended from the vertex C of ?ABC. It is given that the exterior angle of the triangle is and two of the interior opposite angles are equal.
So, and
.
So, now using the property, “an exterior angle of the triangle is equal to the sum of the two opposite interior angles”, we get.
In ?ABC
Therefore, each of the two opposite interior angles is
So, the correct option is
d.
Question:44
If one angle of a triangle is equal to the sum of the other two angles, then the triangle is
a
an isosceles triangle
b
an obtuse triangle
c
an equilateral triangle
d
a right triangle
Solution:
In the given problem, one angle of a triangle is equal to the sum of the other two angles.
Thus,
..........1
Now, according to the angle sum property of the triangle
In ?ABC
.........2
Further, using
2 in
1,
Thus,
Therefore, the correct option is
d.
Question:45
Side BC of a triangle ABC has been produced to a point D such that ?ACD = 120°. If ?B =
1
2
?A is equal to
a
80°
b
75°
c
60°
d
90°
Solution:
In the given problem, side BC of ?ABC has been produced to a point D. Such that and . Here, we need to find
Given
We get,
Now, using the property, “exterior angle of a triangle is equal to the sum of two opposite interior angles”, we get,
In ?ABC
Also,
Using1
Thus,
Therefore, the correct option is a
.
Question:46
In ?ABC, ?B = ?C and ray AX bisects the exterior angle ?DAC. If ?DAX = 70°, then ?ACB =
a
35°
b
90°
c
70°
d
55°
Solution:
In the given ?ABC, . D is the ray extended from point A. AX bisects and
Here, we need to find
As ray AX bisects
Thus,
Now, according to the property, “exterior angle of a triangle is equal to the sum of two opposite interior angles”, we get,
Thus,
Therefore, the correct option is
c.
Question:47
In a triangle, an exterior angle at a vertex is 95° and its one of the interior opposite angle is 55°, then the measure of the other interior angle is
a
55°
b
85°
c
40°
d
9.0°
Solution:
In the given ?ABC, and
Now, according to the property, “exterior angle of a triangle is equal to the sum of two opposite interior angles”, we get,
So,
Therefore, the correct option is
c.
Question:48
If the sides of a triangle are produced in order, then the sum of the three exterior angles so formed is
a
90°
b
180°
c
270°
d
360°
Solution:
In the given ?ABC, all the three sides of the triangle are produced. We need to find the sum of the three exterior angles so produced.
Now, according to the angle sum property of the triangle
.......
1
Further, using the property, “an exterior angle of the triangle is equal to the sum of two opposite interior angles”, we get,
......2
Similarly,
.......3
Also,
.......4
Adding
2
3 and
4
We get,
Thus,
Therefore, the correct option is
d.
Question:49
In ?ABC, if ?A = 100°, AD bisects ?A and AD ? BC. Then, ?B =
a
50°
b
90°
c
40°
d
100°
Solution:
In the given ?ABC, , AD bisects and .
Here, we need to find .
As, AD bisects ,
We get,
Now, according to angle sum property of the triangle
In ?ABD
Hence,
Therefore, the correct option is
c.
Question:50
An exterior angle of a triangle is 108° and its interior opposite angles are in the ratio 4 : 5. The angles of the triangle are
a
48°, 60°, 72°
b
50°, 60°, 70°
c
52°, 56°, 72°
d
Read More
|
44 videos|412 docs|55 tests
|
Related Exams
About this Document
|
4.87/5 Rating |
|
Nov 24, 2024 Last updated |
Document Description: RD Sharma MCQs: Triangle and its Angles for Class 9 2024 is part of Mathematics (Maths) Class 9 preparation.
The notes and questions for RD Sharma MCQs: Triangle and its Angles have been prepared according to the Class 9 exam syllabus. Information about RD Sharma MCQs: Triangle and its Angles covers topics
like and RD Sharma MCQs: Triangle and its Angles Example, for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for RD Sharma MCQs: Triangle and its Angles.
Introduction of RD Sharma MCQs: Triangle and its Angles in English is available as part of our Mathematics (Maths) Class 9
for Class 9 & RD Sharma MCQs: Triangle and its Angles in Hindi for Mathematics (Maths) Class 9 course.
Download more important topics related with notes, lectures and mock test series for Class 9
Exam by signing up for free. Class 9: RD Sharma MCQs: Triangle and its Angles | Mathematics (Maths) Class 9
Description
Full syllabus notes, lecture & questions for RD Sharma MCQs: Triangle and its Angles | Mathematics (Maths) Class 9 - Class 9 | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) Class 9 | Best notes, free PDF download
Information about RD Sharma MCQs: Triangle and its Angles
In this doc you can find the meaning of RD Sharma MCQs: Triangle and its Angles defined & explained in the simplest way possible. Besides explaining types of
RD Sharma MCQs: Triangle and its Angles theory, EduRev gives you an ample number of questions to practice RD Sharma MCQs: Triangle and its Angles tests, examples and also practice Class 9
tests
|
Explore Courses for Class 9 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
mock tests for examination
,RD Sharma MCQs: Triangle and its Angles | Mathematics (Maths) Class 9
,shortcuts and tricks
,past year papers
,Free
,Exam
,Viva Questions
,practice quizzes
,Previous Year Questions with Solutions
,Objective type Questions
,Semester Notes
,Extra Questions
,RD Sharma MCQs: Triangle and its Angles | Mathematics (Maths) Class 9
,Sample Paper
,Summary
,study material
,Important questions
,RD Sharma MCQs: Triangle and its Angles | Mathematics (Maths) Class 9
,video lectures
,MCQs
,ppt
;
Additional Information about RD Sharma MCQs: Triangle and its Angles for Class 9 Preparation
RD Sharma MCQs: Triangle and its Angles Free PDF Download
The RD Sharma MCQs: Triangle and its Angles is an invaluable resource that delves deep into the core of the Class 9 exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the RD Sharma MCQs: Triangle and its Angles now and kickstart your journey towards success in the Class 9 exam.
Importance of RD Sharma MCQs: Triangle and its Angles
The importance of RD Sharma MCQs: Triangle and its Angles cannot be overstated, especially for Class 9 aspirants.
This document holds the key to success in the Class 9 exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
RD Sharma MCQs: Triangle and its Angles Notes
RD Sharma MCQs: Triangle and its Angles Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to RD Sharma MCQs: Triangle and its Angles.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, RD Sharma MCQs: Triangle and its Angles Notes on EduRev are your ultimate resource for success.
RD Sharma MCQs: Triangle and its Angles Class 9 Questions
The "RD Sharma MCQs: Triangle and its Angles Class 9 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 9 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study RD Sharma MCQs: Triangle and its Angles on the App
Students of Class 9 can study RD Sharma MCQs: Triangle and its Angles alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the RD Sharma MCQs: Triangle and its Angles,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of RD Sharma MCQs: Triangle and its Angles is prepared as per the latest Class 9 syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup