Question

For the diagram at right, write and solve an equation to find x

Answer 1

x = 24

Explanation:

The formula for determining the sum of interior angles is:

`(n-2) * 180`

`4 * 180 = 720`

Therefore to determine an equation for x, we must add up all the interior angle equations and set them equal to 720.

`(2x+3) +(3x+12) + (7x+14) + (9x+2) + (4x+8) + (3x+9) = 720\\28x + 48 = 720\\28x = 672\\x = 24`

The equation and answer above shows how to find x, which equals 24.