Question

Find the value of x using the polygon above.

Answer 1

5

Explanation:

This is a hexagon (6 sides)

Total angle should be:

(6 - 2)(180) = 720

In terms of x:

Total angle = 126x + 90

720 = 126x + 90

x = 5

Answer 2

x=5

Explanation:

The sum of the interior angles of a polygon is found by

(n-2)*180 where n is the number of sides

There are 6 sides

(6-2) *180

4*180

720

The sum of the angles is 720

18x+25x+28x+26x+29x+90=720

Combine like terms

126x +90=720

Subtract 90 from each side

126x +90-90=720-90

126x =630

Divide by 126 on each side

126x/126 = 630/126

x=5