Homework due soon need help.

x=13, y=12

Step-by-step explanation:

Since AB and DC are parallel, we can use the special angle formed by the transversal AC.

4x is equal to 52. These angles are alternate interior angles and therefore equal in measure.

4x= 52. Divide both sides by 4.

x = 13

m<ADC is 90 degrees. (AD is perpendicular to DC. This forms a right angle measuring 90 degrees.

Use the triangle angle sum theorem to solve for y. (The 3 interior angles of a triangle sum to 180)

52+90+(3y+2) = 180. Combine like terms.

144+3y = 180. Subtract 144 from both sides.

3y= 36. Divide both sides by 3.

y= 12

step-by-step explanation: