Answer:
x = 80
y = 100
Explanation:
First, we need to figure out how many degrees there are in total in the inside of the polygon. There are 7 sides, so now let's use the formula to find out the total degrees.
(n - 2) * 180
"n" is the amount of sides.
(7 - 2) * 180 =
5 * 180 =
900
The total degrees is 900.
Now, we have to add all the sides in the inside to form an equation to solve for y.
y + 135 + 140 + 150 + 120 + 135 + 120 = 900
y + 800 = 900
y + 800 - 800 = 900 - 800
y = 100
Now, we know that x and y are supplementary angles. So the sum of x and y is 180. We can use that to create an equation to solve for x!
x + y = 180
x + 100 = 180
x + 100 - 100 = 180 - 100
x = 80
Therefore, x = 80 and y = 100
Hope this helped! <3