Answer: x = 9
y = 17
Step-by-step explanation:
Let us assume that the line on top and the line at the bottom are parallel. Therefore, with the transversal, alternate angles are formed.
(2x + 3y)° and 69° are alternate angles.
Also,
(12x + 3y)° and 159° are alternate angles.
Alternate angles are equal. Therefore
2x + 3y = 69- - - - - - - - -1
12x + 3y = 159- - - - - - - - -2
Subtracting equation 2 from equation 1, it becomes
- 10x = - 90
Dividing both sides of the equation by - 10, it becomes
- 10x/- 10 = - 90/- 10
x = 9
Substituting x = 9 into equation 1, it becomes
2 × 9 + 3y = 69
18 + 3y = 69
3y = 69 - 18
3y = 51
y = 51/3
y = 17
