(09.02 MC)

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.

Measure of angle R = 137°

Step-by-step explanation:

Since quadrilateral OPQR is inscribed inside a circle.

Therefore, OPQR is a cyclic quadrilateral.

By the property of cyclic quadrilateral, sum of opposite angles of the cyclic quadrilateral is 180°.

m∠R + m∠P = 180°

(3y + 8) + y = 180

4y + 8 = 180

4y = 172

y =

y = 43°

Therefore, m∠R = (3y + 8) = (3×43 + 8)

                  m∠R = 137°

answer is x<

really really sorry if i'm

-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x