Find Triangle Angles: Isosceles Triangle with 76° and Parallel Lines

Lines a and b are parallel.

The triangle ABC is isosceles.

What are the sizes of its angles?

767676636363353535aaabbbBBBAAACCC

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Step-by-step video solution

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00:00 Prove that the triangle is isosceles and find its angles
00:06 Vertical angles are equal
00:15 Adjacent angles sum to 180 degrees
00:18 Therefore subtract the known angles from 180 to find the angle
00:31 Corresponding angles between parallel lines are equal
00:41 Adjacent angles sum to 180 degrees
00:45 Therefore subtract the known angles from 180 to find the angle
00:50 The base angles of triangle ABC are equal
00:56 In an isosceles triangle, the base angles are equal
01:01 The sum of angles in a triangle equals 180 degrees
01:05 Therefore subtract the known angles from 180 to find the angle
01:14 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

Lines a and b are parallel.

The triangle ABC is isosceles.

What are the sizes of its angles?

767676636363353535aaabbbBBBAAACCC

3

Final Answer

41, 41, 98

Practice Quiz

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If one of two corresponding angles is a right angle, then the other angle will also be a right angle.

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