Aquadrilateral 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.

m∠z=

i know this because…

m∠x=

i know this because…

m∠y=

i know this because…

Part 1) The measure of angle Z is

Part 2) The measure of angle x is

Part 3) The measure of angle y is

Step-by-step explanation:

we know that

In a inscribed quadrilateral opposite angles are supplementary

so

In this problem

------> equation A

----> equation B

step 1

Find the measure of angle Z

Solve the equation A

solve for z

step 2

Find the measure of angle x

we know that

The inscribed angle is half that of the arc it comprises.

so

step 3

Find the measure of angle y

Solve the equation B

we have

substitute

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6: 4= 3/2

18: 8= 9/4

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