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

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

last option: rhombus or kite

step-by-step explanation:

a kite and rhombus have the same shape. as we don't have any specific formula for the calculation of area of kite. the diagonals are used to calculate the area of a kite or rhombus.

the formula for area of rhombus is given by:

here, d_1 is the first diagonal and d_2 is the second diagonal.

so,

last option is the correct answer ..