Question

Two exterior angles of a triangle are 116 and 144. find the measures of all three interior angles of a triangle.

Answer 1

36, 64 and 80 degrees.

Explanation:

Interior angle = 180 - exterior angle.

So one interior angle is 180 - 116 = 64 degrees

and another is 180 - 144 = 36 degrees.

Also since the 3 interior angles add up to 180 degrees the third angle

= 180 - (64 + 36) = 80 degrees.