Question

A side of the triangle below has been extended to form an exterior angle of 154º. Find

the value of x.

Answer 1

x = 64

Explanation:

First, we need to find the unknown interior angle next to the exterior angle.

? + 154 = 180

? = 26

Lastly, we need to find x.

x + 26 + 90 = 180

x + 116 = 180

x = 64

Answer 2

x = 64

Explanation:

The exterior angle is equal to the sum of the opposite interior angles

154 = x+90

Subtract 90 from each side

154-90 = x

64 =x