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Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Class 9 MCQ


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25 Questions MCQ Test - Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics

Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics for Class 9 2024 is part of Class 9 preparation. The Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics questions and answers have been prepared according to the Class 9 exam syllabus.The Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics MCQs are made for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics below.
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Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 1

If B lies between A and C, AC = 15 cm and BC = 9 cm. 

Detailed Solution for Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 1

AB = AC - BC = 15 cm - 9 cm = 6 cm. The answer is option C: 24.

Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 2

The difference of two complementary angles is 40°. Then the angles are :-

Detailed Solution for Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 2
Let 1 angle be = xthe other angle = 90-xA/q90 - x - x = 4090 - 2x = 4090 - 40 = 2x50 = 2xx = 50/2 = 251 angle = x = 252 angle = 90 - x = 90 - 25degree = 65degree.
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Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 3

The measure of an angle is four times the measure of its supplementary angle. Then the angles are :-

Detailed Solution for Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 3
Correct answer is a) as,according to the question. x=4(180-x) x=720-4x x+4x=720. 5x=720. x=720/5. 【x=144】 so its supplement =180-144 =【36】
Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 4

If two supplementary angles are in the ratio 4 : 5 then the angles are :-

Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 5

From the adjoining figure the value of x° is :-

Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 6

The sum of the two angles in a triangle is 95° and their difference is 25°. Then the angles of a triangle is :-

Detailed Solution for Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 6
X+y=95.... (I).... x-y=25...... (II).. From I & II... 2X=110... X=60.. SO, Y=35.. Two angels r 60 n 35... Third=180-(60+35)=180-95=85.. (D) is the correct answer. ..
Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 7

The sides BC, CA and AB of ∠ABC are produced in order to form exterior angles ∠ACD, ∠BAE and ∠CBF then ∠ACD + ∠BAE + ∠CBF is

Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 8

In the figure, the bisector of B and C meet at 0. Then ∠BOC is :-

Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 9

From the adjoining figure, if ∠2 = 55° and  ∠5 = 60° then the lines m and n are

Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 10

In the adjoining figure, the value of ∠A +  ∠B + ∠C + ∠D + ∠E + ∠F is

Detailed Solution for Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 10
In the given adjoining fig.ABC and DEF are triangles. In ABC angle A+ angle B+ angle C=180•(angle sum property of a triangle).......................... (1) In DEF angle D+ angle E+ angle F=180• (angle sum property of a triangle).......................... (2) On adding (1) and (2) angle A+ angle B+ angle C+ angle D+ angle E+ angle F =180+180=360• Hence, proved
Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 11

An exterior angle of a triangle is 110° and one of the interior of opposite angles is 40°. Then the other two angles of a triangle are :-

Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 12

From the adjoining figure AB || DE. Then the value of x° is :-

Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 13

In figure, find x if AB || CD.

Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 14

In the adjoining figure the value of x is :-

Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 15

The angle ABC and BDC are right angles. If AD = 9 cm and DC = 16 cm and AB = 15 cm then the length of BD is :-

Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 16

In the given figure PQ || RS ∠PAB = 70°, ∠ACS = 110° then  ∠BAC is :-

Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 17

In the adjoining figure AB || CD, ∠1 : ∠2 = 3 : 2. Then ∠6 is :-

Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 18

In a ΔABC if 2∠A = 3∠B = 6∠C then ∠A, ∠B, ∠C are

Detailed Solution for Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 18
In ΔABC, 2∠A = 3∠B = 6 ∠C.
Let 2∠A = 3∠B = 6 ∠C = x
∠A = x/2
∠B = x/3
∠C = x/6
∠A + ∠B + ∠C = 180 deg
⇒ x/2 + x/3 + x/6 = 180 deg
⇒ (3x + 2x + x) / 6 = 180 deg
⇒ 6x / 6 = 180 deg
⇒ x = 180 deg

Therefore, ∠A = 180/2 = 90 degree, ∠B = 180/3 = 60 degree, ∠C = 180/6 = 30 degree.
Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 19

In the adjoining figure, it is given that ∠A = 60°, CE || BA and ∠ECD = 65° then ∠ ACB = _______ .

Detailed Solution for Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 19
AngleBAC=angleACE....(alt interior angle) So, Angle ACE=65 dgree Angle ACB+ angleACE + angle ECD= 180 degree....(linear pair) Angle ACB+65 degree + 60 degree=180 dgree Angle BCA=(180-125) degree Angle BCA=55 degree (Ans).
Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 20

In the adjoining figure, it is given that AB || CD, ∠BAO = 108° and ∠OCD = 120° then  ∠AOC = ______

Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 21

The exterior angle of a triangle is equal to the sum of two

Detailed Solution for Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 21
An exterior angle of a triangle is equal to the sum of the opposite interior angles. For more on this see Triangle external angle theorem. If the equivalent angle is taken at each vertex, the exterior angles always add to 360deg In fact, this is true for any convex polygon, not just triangles.
Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 22

The angles of a triangle are in the ratio 5 : 3 : 7, the triangle is :

Detailed Solution for Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 22
It is an acute angled triangle. 

5x+3x+7x = 180

15x =180

Therefore x = 12

Hence the angles of the triangle are 5 x 12 = 60 degrees

3 x 12 = 36 degrees

7 x 12 = 84 degrees. Since all the angles are less than 90 degrees it is an acute angle triangle.
Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 23

If one angle of a triangle is equal to the sum of the other two angles, then the triangle is :

Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 24

The number of lines that can pass through a given point is :

Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 25

The number of line segments determined by three given non-collinear points is :

Detailed Solution for Lines And Angles - Olympiad Level MCQ, Class 9 Mathematics - Question 25

Three noncollinear points will form 3 line segments and the figure will be a scalene triangle whose all three sides are not equal .

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