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.
[tex]360=x+4x+3x+2x\implies 360=10x\implies \cfrac{360}{10}=x\implies 36=x[/tex]
Answer:
x = 36
Step-by-step 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-)
:)
