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What is the value of x in the figure?

What is the value of x in the figure?-example-1

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5 votes
180 - (80 + 20) = 80

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

sorry if it’s incorrect :/
User GlennSills
by
7.7k points
3 votes

Answer:

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°

User Robbie Wareham
by
8.3k points

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