Question

What is the value of y if line l is parallel to line m

Answer 1

y = 13

Explanation:

First, find the value of x.

The 2 other angles with x values are alternate exterior angles, meaning they are congruent. Set up an equation setting them equal to each other:

10x - 17 = 8x + 1

Solve for x:

2x - 17 = 1

2x = 18

x = 9

Then, plug in 9 as x into the angle measure next to the one with y values:

8x + 1

8(9) + 1

72 + 1

= 73

This angle and the one with the y value will be supplementary. To find the measure of the angle with the y value, subtract 73 from 180:

180 - 73

= 107

So, it is equal to 107. Lastly, set the angle measure equal to 107 and solve for y:

6y + 29 = 107

6y = 78

y = 13