Quadrilateral opqr is inscribed in circle n, as shown below. what is the measure of ∠rop? quadrilateral opqr is inscribed in circle n. angle o is labeled x plus 17 degrees, angle q is 6x minus 5 degrees, and angle r is 2x plus 19 degrees.

One way to find the answer is to take Point O and Point Q and add them, setting it to equal 180 so: 
(x+17)+(6x-5)=180
Combine like terms: 
7x+12=180
Subtract 12 from 180:
7x=168
Then divide 7 to isolate the x:
So then x=24 and you want the measure of ROP so take 24 and add it to 17:
Final answer ROP=41

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