Ocean waves move in parallel lines toward the shore. the figure shows the path that a windsurfer takes across several waves. for this exercise, think of the windsurfer's wake as a line. if m∠1 = (5x + 3y)° and m∠2 = (5x + y)°, find x and y.

Angles in transversal of parallel lines are either corresponding, vertical, alternate or interior angles.

The values of x and y are 10 and 20, respectively.

The angles are given as:

From the image of the wave (see attachment), we have:

Where:

 ----- corresponding angles

----- corresponding angles

So, we have:

Subtract the second equation from the first to eliminate x

Divide both sides by 2

Substitute 20 for y in

Collect like terms

Divide both sides by 5

Hence, the values of x and y are 10 and 20, respectively.

Read more about angles in parallel lines at:

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