Question

Find the measure of the arc or angle indicated.

a. 59 degrees
b. 44 degrees
c. 34 degrees
d. 61 degrees

Answer 1

? = 44

Explanation:

Very interesting problem.

If arc YQ = 92

Then

arc WQ = 88 degrees.

Now you are going to have to read the next sentence very carefully; there is no simple way to write it.

If an angle shares the end points of the arc, then any angle on the circumference drawn from the end point of the arc will be 1/2 the degree measurement of the arc. The supplementary part of the arc is excluded.

What that long winded description means is that WYQ = 1/2 the arc

So

WYQ = 1/2 * 88 = 44

So the answer to ? is 44 or B