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please help with question #10. the teacher said to solve it using systems of equations. and we are required to show all of our work. I hope you can figure this out, thanks!!

please help with question 10 the teacher said to solve it using systems of equations and we are required to show all of our work I hope you can figure this out class=

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ANSWER

x = 20 and y = 25

EXPLANATION

We are given three angles

We have that:

From the figure, we see that

This means that they are equal to one another.

That is:

=> 3x + 2 = 4x - 18

Collect like terms:

4x - 3x = 2 + 18

x = 20

We also see that

Adjacent angles of a parallelogram add up to 180 degrees.

This means that:

5y - 7 + 4x - 18 = 180

Recall that x = 20:

5y - 7 + 4(20) - 18 = 180

5y - 7 + 80 - 18 = 180

5y + 55 = 180

5y = 180 - 55 = 125

=> y = 125 / 5

y = 25

Therefore, x = 20 and y = 25.

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