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Pavlova-9 [17]
3 years ago
6

Find the measure of the arc or angle indicated PLEASE HELP

Mathematics
1 answer:
sleet_krkn [62]3 years ago
3 0

Answer:

Option D.

Step-by-step explanation:

step 1

Find the measure of angle F

we know that

In an inscribed quadrilateral, the opposite angles are supplementary

so

substitute the value of <Q

99\°+

step 2

Find the measure of arc PQ

we know that

The inscribed angle measures half that of the arc comprising

so

substitute values

81\°=\frac{1}{2}(arc\ PQ+92\°)

162\°=(arc\ PQ+92\°)

arc\ PQ=162\°-92\°=70\°

step 3

Find the measure of angle R

we know that

The inscribed angle measures half that of the arc comprising

so

substitute values

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