1 Answer

Aaron Roller · Answer 1 · 2023-09-19T15:53:21+0000

Given:

A car is traveling on Michigan Street towards Ward Street.

Required:

We need to find the measure of the angle when the car plans to turn right onto Ward Street.

Step-by-step explanation:

We need to find the angle x marked in the given diagram.

Michigan Street road and Pennsylvania street road are parallel.

$\angle OPN\text{ and }\angle MNQ\text{ are corresponding angles.}$
$\angle OPN\text{ = }\angle MNQ=85\degree$

The angles MNQ and PNQ are linear pairs.

The sum of the linear pair is 180 degrees.

$\angle MNQ+\text{ }\angle PNQ=180\degree$
$85\degree+x=180\degree$

Subtract 85 from both sides of the equation.

$85\degree+x-85\degree=180\degree-85\degree$
$x=95\degree$

Final answer:

95 degrees angle measure the turn.

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