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2 years ago

Find the value of x.

Mathematics

2 answers:

Anvisha [2.4K]2 years ago

6 0

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-)

aleksandr82 [10.1K]2 years ago

5 0

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.

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

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