Question

A quadrilateral is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work and/or explain how you got your answer. Hint: Watch the 3/20 Class Connect session to see an example problem like this worked out. Also, read pg. 248-249 in your textbook for another example.
1 point for each correct angle measure and 1 point for explaining or showing how you got your answer. Don’t forget to label your answers.

m∠z=

I know this because…

m∠x=

I know this because…

m∠y=

I know this because…

Answer 1

According to THEOREM CYCLIC QUADRILATERAL

93 + z = 180

z=180-93

z=87°

56°+106°

=162°

Using INSCRIBED ANGLE THEOREM

x=1/2 × 162

x=81°

y=180-81 (theorem of cyclic quadrilateral)

y=99°

z=87°

x=81°

y=99°

HOPE THIS HELPS

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