meerkat18 meerkat18

03-08-2016
Mathematics

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

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

Respuesta :

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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