Question

Find x
A.124
B.56
C.62
D.28

Answer 1

C

Explanation:

EG is the diameter of the circle, so the degree measure of the arc EFG is 180°.

Since the measure of minor arc EF is 56°, then the measure of minor arc FG is

180° - 56° = 124°

Angle GEf is insribed angle subtended on the arc FG, so its measure is half of the arc measure:

`x=(1)/(2)\cdot 124^(\circ)\\ \\x=62^(\circ)`