Find the value of x and w. inscribed angles

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°

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3