Question

In the figure below, line M is parallel to line N.

Answer 1

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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