meerkat18 meerkat18

03-08-2016
Mathematics

Answered

"In the diagram, m = 128° and m = 76°. What is mABC?

A104
B116
C128
D102
E96"

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

Verified Answer :

03-08-2016

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

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