Question

Does anyone know the values of x and y? my teacher didn’t go over this type of problem

Answer 1

Answer:

x = 80

y = 100

Step-by-step 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