Question

Good morning!


I am here with a few geometry questions today.


There is 2 steps to this.

Step 1: The city plans a new road that will be parallel to Brodie Lane. What is the slope of the new road?


Step 2: Let m∠6=$x^{o}$. Which angles have a measure of 180-x?

Use the diagram below to help!

When you answer this question please be sure to explain your answer and show work.

Good luck! Have a great day!

Answer 1

Answer:

• Step1. Slope is zero
• Step2. Angles 5, 8, 9 and 12

Step-by-step explanation:

Step 1

Parallel lines have the same slope.

Gray Dr is parallel to Brodie Ln

They both are parallel to x-axis, therefore both have a zero slope.

Step 2

m∠6 = x°

Angles 5 and 8 are supplementary with angle 6, so they have a measure of (180 - x)°.

Also, since Gray Dr is parallel to Brodie Ln and Canon Rd is transversal, the angles 9 and 12 have the same measure. Because ∠6 and ∠10 are corresponding angles.