Quadrilateral opqr is inscribed in circle n, as shown below. what is the measure of ∠rop?

Asked by maham237 @ in Mathematics viewed by 315 People

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.

Answered by maham237 @


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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