Question

Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work.

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Can you please help solve for x?
x+6+x-2=180

Answer 1

x=88

Step-by-step explanation:

x+6+x-2=180

2x+4=180

2x=180-4

2x=176

*divivd both sides*

x=88

Answer 2

x = 88

A = 94°

B = 102°

C = 86°

D = 78°

Step-by-step explanation:

We find the angle measurements by finding x first.

what we first do in this equation x+6+x-2=180 is combine like terms

this would equal

2x+4=180

we want x by itself so we subtract 4 from both sides

this would equal

2x=176

x is still not by itself so now we divide 2 by both sides

this would equal

x = 88

Now we just plug in our answers in to the angles meaning

we replace everything that is x in the quadrilateral with 88

Now that we found all the sides with equations there is still one angle that is undefined

We figure this out by subtracting all the angles with 360.

this is because all the angles degrees added in a quadrilateral equals 360. so 360-258=102

so the angle measurement of angle B is 102