Question

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

Answer 1

B. 116

Explanation:

Answer 2

D) 102

Explanation:

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