I need HELP PLEASE ! :)

Quadrilateral OPQR is inscribed inside a circle as shown below. Write a proof showing that angles O and Q are supplementary.

Circle N is shown with an inscribed quadrilateral labeled OPQR.

Question

I need HELP PLEASE ! :)

Quadrilateral OPQR is inscribed inside a circle as shown below. Write a proof showing that angles O and Q are supplementary.

Circle N is shown with an inscribed quadrilateral labeled OPQR.

bloomlocke367 · Answer

can you post the figures?

anonymous · Answer

attachment

bloomlocke367 · Answer

ohhhh proofs. Sorry, I don't think I can help you with that.. I haven't done that since Geometry. Sorry! Good luck! :D

anonymous · Answer

its ok thank you!

anonymous · Answer

@ganeshie8 can you please help me?

anonymous · Answer

@TheSmartOne

jdoe0001 · Answer

do you know or recall what the arc made by an inscribed angle is?

anonymous · Answer

no :(

jdoe0001 · Answer

ok http://static.blog.beatthegmat.com/mba/files/2012/05/E89000b.png <--- can you see the correlation?

jdoe0001 · Answer

"x" is the "inscribed angle" in the circle
and it's touching the "red" arc

jdoe0001 · Answer

http://www.geom.uiuc.edu/~dwiggins/pict44.GIF <--- another way to view it

jdoe0001 · Answer

see the correlation?

anonymous · Answer

yes

anonymous · Answer

but what does that mean ?

jdoe0001 · Answer

woops... ok

jdoe0001 · Answer

well let's see your graph one sec

jdoe0001 · Answer

|dw:1426032808090:dw|

jdoe0001 · Answer

that arc is .. how long in "o angle" terms?

anonymous · Answer

bigger that angle O???

jdoe0001 · Answer

well.. is bigger BUT notice
that arc is also the "intercepted arc" by the "inscribed angle O"

so how long does that make that arc in "O angle terms"?

anonymous · Answer

90 degrees?? since it seems that the angle o is 45 and the arc is the double of that?

anonymous · Answer

i think i finally got it. Thank you for trying to help me @jdoe0001