Question

Quadrilateral OPQR is inscribed inside a circle as shown below. What equation would be needed to solve for angle P? What is the measure of angle P?

Answer 1

In an inscribed quadrilateral, opposite angles are supplementary.

Answer 2

Do you know what supplementary angles are?

Answer 3

No

Answer 4

Supplementary angles are two angles whose measures add up to 180 degrees.

Answer 5

Oh okay so how did I solve this equaiton

Answer 6

Add the measure of angle P and the opposite angle and set equal to 180.

Answer 7

Angle p dosent have measure

Answer 8

Yes. It has. It's the expression inside.

Answer 9

2x + 4?

Answer 10

Angle P measures y.
What does angle R measure?

Answer 11

2x + 4 is the measure of angle Q. We're not dealing with angle Q.

Answer 12

3y + 8

Answer 13

Correct.
Now add the measures of angles P and R, and set equal to 180. That is the equation you need to find the measure of angle P.

Answer 14

So I add 3 + 8?

Answer 15

No.
3y + 8 has two terms, 3y and 8. They are not like terms, so they can't be added together.
You need to add 3y + 8 and y and set that equal to 180.