38 geometry ! find the values of x and y. prove your answers.

x = 8

y = 30

Step-by-step explanation:

5x = 40 degrees ( alternate interior angle).

so x = 8

And as the angle adjacent to 40 degrees is 90-50 then

3y = 180 - 50 - 40

3y = 90 degrees

y = 90/3

y = 30

A  simpler way to find y is  

3y = 90  ( 2 inside angles between parallel lines add up to 180)

so y = 30

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.