Find the measure of the numbered angle.
select one:
a. 62.5
b. 105
c. 112.5
d. 115

C. 112.5

The Angles of Intersecting Chords Theorem  states:

"If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle"

So, the arc intercepted by the angle ∠5 is:

360° - 50° - 115° - 85° = 110°

On the other hand, the arc intercepted by its vertical angle is:

115°

Therefore:

answer: i'm not going to give you the answer, but some hints to work it out.

step-by-step explanation: so, if there is a straight line that means that the line angle is 180°. so we subtract the 2 angle measures provided, (15 and 38) from 180. so the answer is 180 - (38 + 15). (you have to solve the equation)