Question

"In the diagram, m = 128° and m = 76°. What is mABC?
A) 104
B) 116
C) 128
D) 102
E) 96"

Answer 1

Angle ABC is an inscribed angle.

Inscribed angle = 1/2 * Intercepted Arc

The intercepted arc is arc CD + arc DA, which would be 128 + 76 = 204

m<ABC = 1/2(204)

m<ABC = 102 degrees

You answer is D) 102