Question

Given: m∠XOY = 20°; m∠ZOY = 70° if ∠ZOW and ∠ZOY are supplementary angles, then what is the measure of ∠ZOW?

a. 120°
b. 70°
c. 100°
d. 110°

Answer 1

The measure of ∠ZOW is 110°.

Step-by-step explanation:

To find the measure of ∠ZOW, we need to first find the measure of ∠ZOY. Given that ∠ZOY = 70°, and ∠ZOW and ∠ZOY are supplementary angles, we can use the property that the sum of the measures of two supplementary angles is 180° to find ∠ZOW.

So, ∠ZOW + ∠ZOY = 180°

Substituting the given value, we have ∠ZOW + 70° = 180°

Subtracting 70° from both sides, we get ∠ZOW = 180° - 70° = 110°.

Therefore, the measure of ∠ZOW is 110°, which is option d.