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skelet666 [1.2K]
2 years ago
10

Find the measure of d.

Mathematics
1 answer:
ad-work [718]2 years ago
3 0

Answer:

d = 123

Step-by-step explanation:

The given figure above is an inscribed quadrilateral with all four vertices lying on the given circle, thereby forming chords each.

Therefore, the opposite angles of the above quadrilateral are supplementary.

This means:

c + 31 = 180 , and

d + 57 = 180

Find the measure of d:

d + 57 = 180

Subtract 57 from both sides.

d + 57 - 57 = 180 - 57

d = 123

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