Question

WHAT IS THE MEASURE OF THIS CIRCLE???

A. 74°
B. 106°
C. 115°
D. 68°
E. 112°

Answer 1

B. 106°

Explanation:

The marked angles are supplementary, so ...

(6x +2) +(10x -14) = 180

16x -12 = 180

16x = 192

192/16 = x = 12

m∠BCG = (10x -14)° = (10·12 -14)°

m∠BCG = 106°