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