Find x and y. please help

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

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation: