Answer:
x = 21 degrees
y = 66 degrees
Step-by-step explanation:
Supplementary angles sum 180 degrees and complementary angles sum 90 degrees.
The first two upper angles are supplementary since they complete half a turn of a circle.
The relation is
(3x+5)+(6x-14)=180.
Joining like terms
9x-9=180
Dividing by 9
x - 1= 20 =>
x = 21 degrees
The first and the last angle are the same because they are formed by two parallel lines to a common side, so
3x-5=y-8 or
y=3x+3 = 63+3 =>
y = 66 degrees
