Answers:
x = 40 and y = 40
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Step-by-step explanation:
The three angles involving x add up to 180 since they form a straight line or straight angle.
3x+0.5x+x = 180
4.5x = 180
x = 180/(4.5)
x = 40
Then note how the 0.5x and 0.5y angles are vertical angle pairs. Vertical angles form when we have two lines cross to form an X shape, and vertical angles are always opposite one another. Also, vertical angles are always the same measure.
0.5x = 0.5y
x = y
40 = y
y = 40
In the second step, I multiplied both sides by 2. Then I plugged in x = 40 we found earlier.