Question

sdfsdfs

Answer 1

didi you get anything yet?

Answer 2

ok one sec

Answer 3

yeah you have the right looking idea, just have to make it the proof

Answer 4

1) Quadrilateral OPQR is inscribed in circle N ----- Given
2)...

Answer 5

that is the last step, what you need to prove

Answer 6

It does not tell you that that is a parallelogram

Answer 7

Start with stating the given things , then only say what can be concluded from previous steps in the proof...

1) Quadrilateral OPQR is inscribed in circle N ----- Given
2) Angle O = 1/2 arc PQR and Angle Q = 1/2 arc ROP ----- inscribed angles theorem
3)...

Answer 8

Now you can say angle O plus angle Q = the sum of both those Arcs, i think it is called substitution of equality or somehting like that

1) Quadrilateral OPQR is inscribed in circle N ----- Given
2) Angle O = 1/2 arc PQR and Angle Q = 1/2 arc ROP ----- inscribed angles theorem
3) Angle O + Angle Q = 1/2 * (arc PQR + arc ROP) ------ substitution

Answer 9

And the sum of those two arcs is the full circle, 360 degrees, so you can sub that in

1) Quadrilateral OPQR is inscribed in circle N ----- Given
2) Angle O = 1/2 arc PQR and Angle Q = 1/2 arc ROP ----- inscribed angles theorem
3) Angle O + Angle Q = 1/2 * (arc PQR + arc ROP) ------ substitution
4) Angle O + Angle Q = 1/2 *(360) = 180 ------- circle
5)Angle O and angle Q are supplimentary --- def of supp angles

Answer 10

1) Quadrilateral OPQR is inscribed in circle N ----- Given
2) Angle O = 1/2 arc PQR and Angle Q = 1/2 arc ROP ----- inscribed angles theorem
3) Angle O + Angle Q = 1/2 * (arc PQR + arc ROP) ------ ADDITION
4) Angle O + Angle Q = 1/2 *(360) = 180 ------- substitution circle def
5)Angle O and angle Q are supplimentary --- def of supp angles

Answer 11

that is my version, there are different ways

Answer 12

https://www.khanacademy.org/math/geometry/hs-geo-circles/hs-geo-inscribed-shapes/v/proving-the-opposite-angles-of-inscribed-quadrilateral-are-supplementary

Answer 13

similar way

Answer 14

yeah it works, you have another poof or anything?