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.
Explanation:
We need to find the angle x marked in the given diagram.
Michigan Street road and Pennsylvania street road are parallel.
[tex]\angle OPN\text{ and }\angle MNQ\text{ are corresponding angles.}[/tex][tex]\angle OPN\text{ = }\angle MNQ=85\degree[/tex]
The angles MNQ and PNQ are linear pairs.
The sum of the linear pair is 180 degrees.
[tex]\angle MNQ+\text{ }\angle PNQ=180\degree[/tex][tex]85\degree+x=180\degree[/tex]
Subtract 85 from both sides of the equation.
[tex]85\degree+x-85\degree=180\degree-85\degree[/tex][tex]x=95\degree[/tex]
Final answer:
95 degrees angle measure the turn.
