Find the measure of d.

Mathematics

1 answer:

ad-work [718]3 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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