Question

What is the value of x in the figure?

Answer 1

180 - (80 + 20) = 80

angle BAC = 80
opposite angles are equal for parallelogram so x = 80 too:)

sorry if it’s incorrect :/

Answer 2

Explanation:

Opposite sides are parallel and equal. So, ABCD is a parallelogram

In ΔABD,

∠A + ∠ACB + ∠ABC = 180 {Angle sum property of triangle}

∠A + 80 + 20 = 180

∠A + 100 = 180

∠A = 180 - 100

∠A = 80

In parallelogram, opposite angles are equal.

∠D = ∠A

x° = 80°