Question

Find X with an equation

Answer 1

Equation: 900=139+(-x+167)+(-2x+194)+(-3x+202)+(-x+183)+(142)+(-x+169)

x=37

Explanation:

This is a 7 sided polygon

Those are exterior angles

900 degrees= 7 sided polygon

So to find x

look interior plus exterior = 180

180-41=139

180-(x+13)=−x+167

180-(2x-14)=−2x+194

180-(3x-22)=−3x+202

180-(x-3)=−x+183

180-(38)=142

180-(x+11)=−x+169

now add them all up equal to 900

900=139+(-x+167)+(-2x+194)+(-3x+202)+(-x+183)+(142)+(-x+169)

just simplify all that

and combine like terms

x=37

Answer 2

x = 37

Explanation:

The sum of exterior angles in a polygon is 360°.

41 + x +13 + 2x -14 + 3x -22 + x -3 +38 + x +11 = 360

Simplify.

8x + 64 = 360

Isolate 8x.

8x = 360 - 64

= 296

Find x.

x = 296 ÷ 8

x = 37