Question

A triangle has interior angles labeled x degrees and 45 degrees. The opposite exterior angle is labeled 2 x minus 2 degrees. The measure of the exterior angle of the triangle is how many degrees.

Answer 1

94°

Explanation:

Since exterior angle of a triangle is equal to the sum of its two remote interior angles.

So,

2x - 2 = 45 + x

Add 2 on both sides:

2x - 2 + 2 = 45 + x + 2

2x = 47 + x

Subtract x on both sides:

2x - x = 47

x = 47°

Hence, the measure of the exterior angle = 2x - 2 = 2 × 47 - 2 = 94 degrees.