Class 7 Exam > Class 7 Questions > Can you explain the answer of this question b...
Start Learning for Free
Can you explain the answer of this question below:
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Practical Geometry, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.
Q.
The ____________ of a triangle is equal in measure to the sum of interior opposite angles.
- A:interior angle
- B:exterior angle
- C:angle
- D:None of these
The answer is B.
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Can you explain the answer of this question below:Practice Quiz or MCQ...
Option b because two interior opposite anglers is equal to 1 exterior angle
Free Test
FREE
| Start Free Test |
Community Answer
Can you explain the answer of this question below:Practice Quiz or MCQ...
Explanation:
To understand why the correct answer is option 'B', let's first define the terms involved in the question.
- Interior Angle: An interior angle of a triangle is an angle formed inside the triangle by any two sides.
- Exterior Angle: An exterior angle of a triangle is an angle formed outside the triangle by extending one of the sides.
Now, let's consider a triangle ABC with interior angles A, B, and C, and exterior angles X, Y, and Z.
Sum of Interior Angles:
According to the triangle angle sum property, the sum of the interior angles of any triangle is always 180 degrees. In other words, A + B + C = 180 degrees.
Opposite Interior Angles:
Opposite interior angles are the pairs of angles that are formed by two intersecting lines. In a triangle, the opposite interior angles are the angles that are on the opposite sides of the third side.
Sum of Interior Opposite Angles:
The sum of the interior opposite angles of a triangle is equal to 180 degrees. This can be proved using the property that the sum of angles on a straight line is 180 degrees.
Exterior Angle:
The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. In other words, X = B + C, Y = A + C, and Z = A + B.
Relation between Exterior Angle and Sum of Interior Opposite Angles:
Now, if we add up the three exterior angles of a triangle (X + Y + Z), we get:
X + Y + Z = (B + C) + (A + C) + (A + B)
= 2A + 2B + 2C
= 2(A + B + C)
Since A + B + C is equal to 180 degrees (sum of interior angles of a triangle), we can substitute this value into the equation:
X + Y + Z = 2(180 degrees)
= 360 degrees
Therefore, the sum of the three exterior angles of a triangle is always 360 degrees.
Conclusion:
From the above explanation, it is clear that the sum of the interior opposite angles of a triangle is equal to the sum of the exterior angles of a triangle. Hence, the correct answer is option 'B' - Exterior Angle.
To understand why the correct answer is option 'B', let's first define the terms involved in the question.
- Interior Angle: An interior angle of a triangle is an angle formed inside the triangle by any two sides.
- Exterior Angle: An exterior angle of a triangle is an angle formed outside the triangle by extending one of the sides.
Now, let's consider a triangle ABC with interior angles A, B, and C, and exterior angles X, Y, and Z.
Sum of Interior Angles:
According to the triangle angle sum property, the sum of the interior angles of any triangle is always 180 degrees. In other words, A + B + C = 180 degrees.
Opposite Interior Angles:
Opposite interior angles are the pairs of angles that are formed by two intersecting lines. In a triangle, the opposite interior angles are the angles that are on the opposite sides of the third side.
Sum of Interior Opposite Angles:
The sum of the interior opposite angles of a triangle is equal to 180 degrees. This can be proved using the property that the sum of angles on a straight line is 180 degrees.
Exterior Angle:
The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. In other words, X = B + C, Y = A + C, and Z = A + B.
Relation between Exterior Angle and Sum of Interior Opposite Angles:
Now, if we add up the three exterior angles of a triangle (X + Y + Z), we get:
X + Y + Z = (B + C) + (A + C) + (A + B)
= 2A + 2B + 2C
= 2(A + B + C)
Since A + B + C is equal to 180 degrees (sum of interior angles of a triangle), we can substitute this value into the equation:
X + Y + Z = 2(180 degrees)
= 360 degrees
Therefore, the sum of the three exterior angles of a triangle is always 360 degrees.
Conclusion:
From the above explanation, it is clear that the sum of the interior opposite angles of a triangle is equal to the sum of the exterior angles of a triangle. Hence, the correct answer is option 'B' - Exterior Angle.
Attention Class 7 Students!
To make sure you are not studying endlessly, EduRev has designed Class 7 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 7.
|
Explore Courses for Class 7 exam
|
|
Similar Class 7 Doubts
Top Courses for Class 7View all
Can you explain the answer of this question below:Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Practical Geometry, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.The ____________ of a triangle is equal in measure to the sum of interior opposite angles.A:interior angleB:exterior angleC:angleD:None of theseThe answer is B.
Question Description
Can you explain the answer of this question below:Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Practical Geometry, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.The ____________ of a triangle is equal in measure to the sum of interior opposite angles.A:interior angleB:exterior angleC:angleD:None of theseThe answer is B. for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Can you explain the answer of this question below:Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Practical Geometry, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.The ____________ of a triangle is equal in measure to the sum of interior opposite angles.A:interior angleB:exterior angleC:angleD:None of theseThe answer is B. covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can you explain the answer of this question below:Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Practical Geometry, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.The ____________ of a triangle is equal in measure to the sum of interior opposite angles.A:interior angleB:exterior angleC:angleD:None of theseThe answer is B..
Can you explain the answer of this question below:Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Practical Geometry, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.The ____________ of a triangle is equal in measure to the sum of interior opposite angles.A:interior angleB:exterior angleC:angleD:None of theseThe answer is B. for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Can you explain the answer of this question below:Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Practical Geometry, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.The ____________ of a triangle is equal in measure to the sum of interior opposite angles.A:interior angleB:exterior angleC:angleD:None of theseThe answer is B. covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can you explain the answer of this question below:Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Practical Geometry, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.The ____________ of a triangle is equal in measure to the sum of interior opposite angles.A:interior angleB:exterior angleC:angleD:None of theseThe answer is B..
Solutions for Can you explain the answer of this question below:Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Practical Geometry, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.The ____________ of a triangle is equal in measure to the sum of interior opposite angles.A:interior angleB:exterior angleC:angleD:None of theseThe answer is B. in English & in Hindi are available as part of our courses for Class 7.
Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of Can you explain the answer of this question below:Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Practical Geometry, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.The ____________ of a triangle is equal in measure to the sum of interior opposite angles.A:interior angleB:exterior angleC:angleD:None of theseThe answer is B. defined & explained in the simplest way possible. Besides giving the explanation of
Can you explain the answer of this question below:Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Practical Geometry, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.The ____________ of a triangle is equal in measure to the sum of interior opposite angles.A:interior angleB:exterior angleC:angleD:None of theseThe answer is B., a detailed solution for Can you explain the answer of this question below:Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Practical Geometry, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.The ____________ of a triangle is equal in measure to the sum of interior opposite angles.A:interior angleB:exterior angleC:angleD:None of theseThe answer is B. has been provided alongside types of Can you explain the answer of this question below:Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Practical Geometry, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.The ____________ of a triangle is equal in measure to the sum of interior opposite angles.A:interior angleB:exterior angleC:angleD:None of theseThe answer is B. theory, EduRev gives you an
ample number of questions to practice Can you explain the answer of this question below:Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Practical Geometry, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.The ____________ of a triangle is equal in measure to the sum of interior opposite angles.A:interior angleB:exterior angleC:angleD:None of theseThe answer is B. tests, examples and also practice Class 7 tests.
|
|
Explore Courses for Class 7 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup