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bekas [8.4K]
3 years ago
5

What is the measure of a°?

Mathematics
1 answer:
yuradex [85]3 years ago
4 0

Answer:

<u>The correct answer is C. 129.</u>

Step-by-step explanation:

Let's recall that the Inscribed Quadrilateral Theorem states that a quadrilateral is inscribed in a circle if and only if the opposite angles are supplementary.

In the case of the inscribed quadrilateral ABCD in the graph attached, we have that:

m∠C= 51°, therefore its supplementary angle, ∠A, should be the difference between 180° and m∠C.

m∠C= 180° - m∠A

Replacing with the real values:

51 = 180 - m∠A

m∠A = 129°

<u>The correct answer is C. 129.</u>

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