Question

PLEASE NEED HELP....I NEED TO FINISH IN ABOUT AN HOUR....PLEASE

Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle R? You must show all work and calculations to receive credit.

Circle N is shown with an inscribed quadrilateral labeled OPQR. O is labeled 2x degrees. P is labeled y degrees. Q is labeled 2x plus 4 degrees. R is labeled 3y plus 8 degrees.

Answer 1

Answer: ∠R = 137°

Explanation:

The opposite angles of a quadrilateral are supplementary (equal to 180°).

Since ∠P and ∠R are opposite angles, their sum is 180°

∠P + ∠R = 180°

y + 3y + 8 = 180

4y + 8 = 180

4y = 172

y = 43

∠R = 3y + 8

= 3(43) + 8

= 129 + 8

= 137