Question

Which equation could be used to solve for the measure of angle R?

Circle N is shown with a quadrilateral OPQR inscribed inside it. Angle O is labeled x degrees. Angle P is labeled y degrees. Angle Q is labeled z degrees. Angle R is labeled w degrees.

w − (x + y) = 360
w + x + y = 360
w + z = 180
w + y = 180

Answer 1

The opposite angles in a cyclic quadrilateral are supplementary.

That's relatively easy to understand. Consider one of the diagonal chords. The central angle to that chord is the twice the measure of one quadrilateral angle and 360 minus the central angle is twice the measure of the opposite quadrilateral angle. So the two add to 180.

In our problem P=y is opposite R=w

w + y = 180 degrees

Last choice

Answer 2

Answer:w+y=180

Step-by-step explanation: