The corresponding angles of transversal lines are equal.
The value of y is: 132
How to determine the value of y
From the figure, we have the following equations
y = 7x + 20 ---- vertical angles
3x + y = 180
Substitute 7x + 20 for y in 3x + y = 180
3x + 7x + 20 = 180
Collect like terns
3x + 7x = 180 - 20
Evaluate the like terms
10x= 160
Divide both sides by 10
x =16
Recall that:
y = 7x + 20
So, we have:
y = 7 * 16 + 20
y = 132
Hence, the value of y is 132
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