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Find the value of z please help

Find the value of z please help-example-1

2 Answers

4 votes

z + 93 = 180

z = 87

Answer z = 87

Here are the answer for x and y, in case you need them.

x = 2* 93 - 112

x = 186 - 112

x = 74

y = 2 * 80 - x

y = 160 - 74

y = 86

User Matt Warrick
by
5.6k points
4 votes

Answer:


z=87^(\circ)

Explanation:

We have been given image of a circle. We are asked to find the value of z for our given circle.

We can see that our given quadrilateral is a cyclic quadrilateral. We know that opposite angles of a cyclic quadrilateral are supplementary.

We can set an equation using our given information.


93^(\circ)+z=180^(\circ)


93^(\circ)-93^(\circ)+z=180^(\circ)-93^(\circ)


z=87^(\circ)

Therefore, the value of z is 87 degrees.

User YourGoodFriend
by
5.5k points