Question

Find x. Assume that any segment that appears to be tangent is tangent.

Select one:
A. 10
B. 5
C. 12
D. 15

Answer 1

x = 15!

Explanation:

I got it right on my in class exercise!

Answer 2

Option D. x=15°

Explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

see the attached figure to better understand the problem

∠x=(1/2)[arc AB-arc CD]

arc AB=40°

Remember that the diameter divide the circle into two equal parts

arc CD=180°-(130+40)°=10°

substitute

∠x=(1/2)[40°-10°]=15°