Question

The measure of angle W is 100°, and the measure of angle Z is 68°.

A triangle has angles X, Y, Z. The exterior angle to angle X is W.

What is the measure of angle Y?

Answer 1

The answer to this question is 32

Answer 2

32 degrees

Explanation:

The interior and exterior of X must equal 180 degrees.

X + W = 180

Plug in 100 for W and subtract it from both sides.

180 - 100 = X = 80 degrees.

The total of the internal angles of a triangle are 180 degrees.

80 + 68 + Y = 180

Solve for Y: Y = 180 - 68 - 80 = 32 degrees.