Question

Find the value of x and w. Inscribed angles

Answer 1

Part 1) The measure of angle x is 20°

Part 2) The measure of angle w is 54°

Explanation:

we know that

The inscribed angle is half that of the arc it comprises.

step 1

Find the measure of angle x

Angle x is an inscribed angle

so

m∠x=(1/2)[40°]=20°

step 2

Find the measure of angle w

Angle w is an inscribed angle

so

m∠w=(1/2)[108°]=54°