Find the value of x and w. Inscribed angles

Answer:
Part 1) The measure of angle x is 20°
Part 2) The measure of angle w is 54°
Step-by-step 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°