Circles With and Without Coordinates

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

m<ABC = 1/2 the measure of its intercepted arc.

It's intercepted arc is CDA

CDA = CD + DA = 128 + 76 = 204

so m<ABC = 1/2 of 204 = 102 (D)