Question

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

Answer 1

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v16/09_08_12.gif

Answer 2

I can't access your link.
Can you draw it or take a pic of your problem and post it?

Answer 3

I tried attaching a picture but I couldn't post it.

Answer 4

Nevermind.

Answer 5

@mathstudent55

Answer 6

@triciaal

Answer 7

some useful info
sum of the angles in a quadrilateral is 360 degrees
N is the center of the circle so ON = RN etc for all the points that form the radii

Answer 8

Okay.

Answer 9

So, I still don't understand how I would solve for P.

Answer 10

I know the Inscribed Quadrilateral Theorem
The opposite angles of an inscribed quadrilateral to a circle are supplementary.

Answer 11

Which means their sum is 180degrees

Answer 12

But I don't know how to find out P using this information..

Answer 13

In an inscribed quadrilateral, opposite angles are supplementary.

Answer 14

That will give you and equation for x and an equation for y.
Then you can solve both equations separately to find x and y.

Answer 15

Since the problem only asks for angle P, then use angle P and the opposite angle to P, angle R. Add their measures and set the sum equal to 180 since angles P and R are supplementary. Than solve for y. Since angle P measures y, the value you get for y is your answer.

Answer 16

I am still a bit confused so would I combine angle P and angle R into an equation to get Y? Like (3y+8) y = 180 degrees? I feel like I am not properly understanding this.

Answer 17

And would my answer be 43?