10 !

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.

Step-by-step explanation:

Quadrilateral OPQR is inscribed inside a circle as shown in the given diagram. It is a shape bounded by four different sides and four different angles.

In a quadrilateral, the sum of all the angles is equal yo 360 degrees.

This means that

angle O + angle P + angle Q + angle R = 360 degrees.

Also, the opposite angles of the quadrilateral are supplementary. This means that the sum of the opposite angles is 180 degrees. Therefore,

Angle O + angle Q = 180

3y + 8 + y = 180

4y = 180-8 = 172 - - - - - - - -1

Angle R + angle P = 180

2x + 2x + 4 = 180

4x + 4 = 180- - - - - - - -2

From equation 1

y = 172/4 = 43

angle R = 3y + 8

= 3×43 +8 =137 degrees

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (