In the diagram, m CD = 128° and m DA = 76°. What is m∠ABC?
2 answers:
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
Answer: The value of m∠ABC is 102° .
Step-by-step explanation:
Since we have given that
m CD = 128°
m DA = 76°
We need to find the m∠ABC, Angle subtended at the center is half of the sum of the measure of the arc intercepted by it.

The value of m∠ABC is 102° .
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