Question

I NEEDDDD HELPPPPP ITS URGENTTTTTT!!!!!

Answer 1

Answer:

m<XUY = 40

Step-by-step explanation:

The central angles theorem states that in a circle, the measure of an angle with its vertex on the center of the circle is equal to the angle measure of the arc surrounding it. As a given fact, the sum of degree measures in a circle is (360) degrees. Thus, one can form the following equation:

(mZUV) + (mVUW) +(mWUX) +(mXUY) + (mYUZ) = 360

Substitute,

(-15x) + (30) + (90) + (x + 47) + (95) = 360

Simplify,

(-15x) + (30) + (90) + (x + 47) + (95) = 360

-14x + 262 = 360

Inverse operations,

-14x + 262 = 360

-14x = 98

x = -7

Substitute back into the equation for the measure of angle (<XUY)

m<XUY = x + 47

= -7 + 47

= 40