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Which equation could be used to solve for the measure of angle Q? 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
z − (w + x) = 360
z + w + x = 360
z + x = 180
z + w = 180

Respuesta :

(angle ROP) + (angle RQP) = 180° because supplementary angles are 180,

The answer is C. x+z=180
calculista
the picture in the attached figure

we know that
In any quadrilateral where the vertices are on the circumference of a circle, the opposite angles add up to [tex]180[/tex] degrees. 

So,
 in this problem
[tex]angle x + angle z = 180 [/tex]

therefore

the answer is
[tex]x+z=180[/tex]
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