Answers:
x = 33
y = 119
Explanation:
The (3x-38) degree angle and 61 degree angle are congruent. Refer to the alternate exterior angle theorem for more information.
Set those congruent angles equal to each other so we can find x.
3x-38 = 61
3x = 61+38
3x = 99
x = 99/3
x = 33
Angles y and 61 are supplementary because they are same side exterior angles. They add to 180 degrees.
y+61 = 180
y = 180-61
y = 119