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HELP!!! Find the measure of each angle.

HELP!!! Find the measure of each angle.-example-1

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Answer:

Explanation:

This figure is called a cyclic quadrilateral. The vertices of all sides lie on a circle.

That's property one.

Property 2 is that the opposite angles add to 180 degrees.

6y - 4 + 5y - 3 = 180 is the y angles. Combine like terms.

11y - 7 = 180 Add 7 to both sides.

11y - 7 + 7 = 180 + 7

11y = 187 Divide by 11

y = 187/11

y = 17

H = 17 * 6 - 4

H = 102 - 4

H = 98

F = 5y - 3

F = 5*17 - 3

F = 85 - 3

F = 82

=====================

11x + 8 + 8x + 1 = 180

19x + 9 = 180

19x = 171

x = 171/19

x = 9

E = 9*11 + 8

E = 99+8

E = 107

G = 8*9 + 1

G = 72 + 1

G = 73

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