Question

Quadrilateral OPQR is inscribed in circle N, as shown below. What is the measure of ∠QRO?

40

64

116

140

Answer 1

is ONQ diameter ?

Answer 2

Ok, the angles opposite each other add up to 360. So I used the two angles opposite each other that have values, (x+16) and (6x-4), and added those and set it equal to 180. That gave me x = 7. Then I subbed in 7 for the x in angle QRO and got 64.

Answer 3

@IMStuck just a slight typo, "... angles opposite each other add up to *180*"