Find the measure of the arc or angle indicated

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

step 2

Find the measure of arc PQ

we know that

The inscribed angle measures half that of the arc comprising

so

substitute values

step 3

Find the measure of angle R

we know that

The inscribed angle measures half that of the arc comprising

so

substitute values