Question

A car is traveling on Michigan Street towards Ward Street. The car plans to turn right onto Ward Street. What is the anglemeasure of the turn?85Ward St.The angle measure of the turn isMichigan St.Pennsylvania St

Answer 1

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.