Help, Don't solve for me. I know I can do it if it's explained.
Quadrilateral OPQR is inscribed in circle N as shown below. What is the measure of ∠PQR?

Question

Help, Don't solve for me. I know I can do it if it's explained.
Quadrilateral OPQR is inscribed in circle N as shown below. What is the measure of ∠PQR?

anonymous · Answer

Can you put a link to the img please?

anonymous · Answer

attachment

anonymous · Answer

Hello Callie,we have to find the angle PQR.   right ?

anonymous · Answer

Yes, Im confused, do we equal the sides out first?

anonymous · Answer

see when we have to given that quadrilateral in the circle. then we have to remember one thing is that opposite angels  having addition is 180 degrees.  okay.

anonymous · Answer

But its in a circle, wouldn't it naturally be 360?

jim_thompson5910 · Answer

he's saying this http://www.geom.uiuc.edu/~dwiggins/pict47.GIF

jim_thompson5910 · Answer

the opposite angles of any inscribed quadrilateral (in a circle) add up to 180 degrees

anonymous · Answer

oh that makes since :)

jim_thompson5910 · Answer

so how can you use that idea to find x?

anonymous · Answer

its perfect.   so in this case we have to find the angle Q  so we take opposite angle of Q .

can you please add opposite angle of Q and angle Q  taking equal to 180.  degrees. ?

anonymous · Answer

so like 2x+19+6x +5 =x+17?

jim_thompson5910 · Answer

which angles are opposite angles?

anonymous · Answer

oops 2x+19+x+17=6x-5

anonymous · Answer

R+o=q? right

anonymous · Answer

no  angle O and Q are opposite angles.  see carefully.

jim_thompson5910 · Answer

|dw:1400113837590:dw|

anonymous · Answer

So do we equal o and q out??

jim_thompson5910 · Answer

one pair of opposite angles

|dw:1400113910812:dw|

jim_thompson5910 · Answer

another pair of opposite angles

|dw:1400113927581:dw|