Question

Find the value of x.

Answer 1

x = 36

Explanation:

The angles of a trapezoid add up to 360, so add x, 4x, 3x, 2x to get 10x

10x = 360

360/10 = 36

Therefore, x = 36

(I am assuming the ()0 is a makeshift degree symbol-)

:)

Answer 2

the sum of all interior angles in a polygon is

180( n - 2)

n = number of sides

now, this polygon is a quadrilateral, so it has 4 sides, so it's total is just 180( 4 - 2) = 360.

`360=x+4x+3x+2x\implies 360=10x\implies \cfrac{360}{10}=x\implies 36=x`