Question

Find the measure of the arc or angle indicated PLEASE HELP

Answer 1

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