Answer:
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