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Given: Measure of angle 7=5x 5y; measure of angle 8=7x 6; measure of angle 9=15x 5y find x and y

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Final answer:

To find the values of x and y, set up a system of equations using the given angle measurements and then solve for x and y.

Step-by-step explanation:

To find the values of x and y, we need to set up an equation using the given angle measurements. From the given information, we have:

Angle 7 = 5x - 5y
Angle 8 = 7x - 6
Angle 9 = 15x - 5y

We can set up a system of equations with these expressions and solve for x and y:

5x - 5y = Angle 7
7x - 6 = Angle 8
15x - 5y = Angle 9

Solving this system of equations will give us the values of x and y.

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