Question

In a in a quadrilateral ABCD angle A + Angle B and angle C is to angle d is equal to 3 is to 4: 6 :2:7 find all the angles of the quadrilateral has prove that A B and C are parallel is bc also parallel to AD​

Answer 1

∠A:∠B:∠C:∠D=1:2:3:4

So, let ∠A=x,∠B=2x,∠C=3x,∠D=4x

Therefore, by angle sum property of quadrilateral,

x+2x+3x+4x=360

10x=360

x=36°

Hence,

∠A=36° ,∠B=72° ,∠C=108° ,∠D=144°