Question

Given: m∠XPZ = 40°; m∠XPY = 10°

If ∠XPW and ∠XPY are supplementary angles, then what is the measure of ∠XPW

Answer 1

m∠XPW = 170°

Explanation:

Since, ∠XPW and ∠XPY are supplementary angles.

Therefore,

m∠XPW + m∠XPY= 180°

m∠XPW + 10° = 180°

m∠XPW = 180° - 10°

m∠XPW = 170°