To obtain the value of y, we need to obtain the value of x first
Step 1: Finding x
(13x - 27) and (10x + 6) are equal (Alternate exterior angles)
so we can equate both angles
13x - 27 = 10x + 6
13x - 10x = 27 + 6
3x = 33
Divide both sides by 3
x = 33/ 3
x = 11
Step 2: Finding y
(9y + 19) and (10x + 6) are supplementary, hence they add up to 180
9y + 19 + 10x + 6 = 180
9y + 10x + 19 + 6 = 180
9y + 10x + 25 = 180
9y + 10x = 180 - 25
9y + 10x = 155
9y = 155 - 10x
substitute the value of x = 11 from step 1 into the equation
9y = 155 - 10 x 11
9y = 155 - 110
9y = 45
divide both sides by 9
y = 45/9
y = 5