Question

Line L is Parallel to Line M. Find the value of x and y (pls help asap)

Answer 1

Answer:

x = 9 and y = 13

Step-by-step explanation:

10x - 17 and 8x + 1 are Alternate Exterior angles so they equal the same.

So we are going make them equal each other.

10x - 17 = 8x + 1 ( plus 17 on both sides)

10x = 8x + 18 (subtract 8x on both sides)

2x = 18 (divide by 2)

x = 9

PLUG IN 8(9) + 1 = 73 so...

6y + 29 + 73 = 180  (two angle next to each other have to equal 180)

6y + 102 = 180 ( subtract 102 on both sides)

6y = 68 (divide by 6 on both sides)

y = 13

PLUG IN

6(13) + 29 = 107

Answer 2

10x-17 = 8x+1 (vertical angles)
2x = 18
x = 9

plug in to find angle measure
8(9)+1 = 73

73 + 6y + 29 = 180 (supplementary angles)
102 + 6y = 180
6y = 78
y = 13