CAT Exam > CAT Questions > In an isosceles triangle ABC, AB = AC. The e...
Start Learning for Free
In an isosceles triangle ABC, AB = AC. The exterior angle made at vertex A is 140°. Find the angle opposite to the unequal side of the triangle.
- a)100°
- b)70°
- c)40°
- d)Cannot be determined
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
In an isosceles triangle ABC, AB = AC. The exterior angle made at ver...
Given:
- ABC is an isosceles triangle with AB = AC
- Angle made at vertex A is an exterior angle and it is 140°
To find:
- The angle opposite to the unequal side of the triangle
Solution:
Let's assume that AB = AC = x (because it is given that ABC is an isosceles triangle)
Let's also assume that angle BAC = y (because we want to find the angle opposite to the unequal side)
Now, we know that the sum of angles in a triangle is 180°. So,
Angle BAC + Angle ABC + Angle ACB = 180°
y + (180° - 2y) + (180° - 2y) = 180°
Solving this equation, we get:
y = 40°
Therefore, the angle opposite to the unequal side (which is angle ABC or angle ACB) is:
180° - 2y = 180° - 2(40°) = 100°
Hence, the answer is option C (40°).
- ABC is an isosceles triangle with AB = AC
- Angle made at vertex A is an exterior angle and it is 140°
To find:
- The angle opposite to the unequal side of the triangle
Solution:
Let's assume that AB = AC = x (because it is given that ABC is an isosceles triangle)
Let's also assume that angle BAC = y (because we want to find the angle opposite to the unequal side)
Now, we know that the sum of angles in a triangle is 180°. So,
Angle BAC + Angle ABC + Angle ACB = 180°
y + (180° - 2y) + (180° - 2y) = 180°
Solving this equation, we get:
y = 40°
Therefore, the angle opposite to the unequal side (which is angle ABC or angle ACB) is:
180° - 2y = 180° - 2(40°) = 100°
Hence, the answer is option C (40°).
Free Test
FREE
| Start Free Test |
Community Answer
In an isosceles triangle ABC, AB = AC. The exterior angle made at ver...
From the figure above, it is clear that sum of 
B and 
C is 140°.
B and C is 140°.Hence, 
A = 180° - 140° = 40°
A = 180° - 140° = 40°Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
In an isosceles triangle ABC, AB = AC. The exterior angle made at vertex A is 140°. Find the angle opposite to the unequal side of the triangle.a)100°b)70°c)40°d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?
Question Description
In an isosceles triangle ABC, AB = AC. The exterior angle made at vertex A is 140°. Find the angle opposite to the unequal side of the triangle.a)100°b)70°c)40°d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In an isosceles triangle ABC, AB = AC. The exterior angle made at vertex A is 140°. Find the angle opposite to the unequal side of the triangle.a)100°b)70°c)40°d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an isosceles triangle ABC, AB = AC. The exterior angle made at vertex A is 140°. Find the angle opposite to the unequal side of the triangle.a)100°b)70°c)40°d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
In an isosceles triangle ABC, AB = AC. The exterior angle made at vertex A is 140°. Find the angle opposite to the unequal side of the triangle.a)100°b)70°c)40°d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In an isosceles triangle ABC, AB = AC. The exterior angle made at vertex A is 140°. Find the angle opposite to the unequal side of the triangle.a)100°b)70°c)40°d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an isosceles triangle ABC, AB = AC. The exterior angle made at vertex A is 140°. Find the angle opposite to the unequal side of the triangle.a)100°b)70°c)40°d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
Solutions for In an isosceles triangle ABC, AB = AC. The exterior angle made at vertex A is 140°. Find the angle opposite to the unequal side of the triangle.a)100°b)70°c)40°d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of In an isosceles triangle ABC, AB = AC. The exterior angle made at vertex A is 140°. Find the angle opposite to the unequal side of the triangle.a)100°b)70°c)40°d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In an isosceles triangle ABC, AB = AC. The exterior angle made at vertex A is 140°. Find the angle opposite to the unequal side of the triangle.a)100°b)70°c)40°d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for In an isosceles triangle ABC, AB = AC. The exterior angle made at vertex A is 140°. Find the angle opposite to the unequal side of the triangle.a)100°b)70°c)40°d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of In an isosceles triangle ABC, AB = AC. The exterior angle made at vertex A is 140°. Find the angle opposite to the unequal side of the triangle.a)100°b)70°c)40°d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In an isosceles triangle ABC, AB = AC. The exterior angle made at vertex A is 140°. Find the angle opposite to the unequal side of the triangle.a)100°b)70°c)40°d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT 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