Answer :

Luv2Teach

Answer:

87°

Step-by-step explanation:

If a quadrilateral is inscribed in a circle, then opposite angles are supplementary.  That means that z + 93 = 180 and z = 87°

Two angles whose sum is 180° are called supplementary angles. The value of z is 87°.

What are supplementary angles?

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

For any cyclic quadrilateral, the pair of opposite angles form a supplementary pair. Therefore, for the angle z and the angle opposite to it will be,

93° + z = 180°

z = 180° - 93°

z = 87°

Learn more about Supplementary Angles:

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