Question

Mework In quadrilateral ABCD, mZA = 80, mZB = 2x, mZC=x and mZD = 4x. Find x.

Answer 1

The property of quadrilateral is the sum of the angles of the quadrilateral is 360 deg.

To find the value of x as all the angles are given,

`\angle A+\angle B+\angle C+\angle D=180^(\circ)`
`80+2x+x+4x=360^(\circ)`
`80+7x=360^(\circ)`
`7x=280^(\circ)`
`x=40^(\circ)`

Thus , the value of x is 4