Question

In fig.14.16 ABCD is a quadrilateral in which m<C =120°,CB||DA and angle A and C are supplementary. find the measure of each of the angles A,B and D.​

Answer 1

Step-by-step explanation:

We are given ∠B+∠D=180

∘

. Using angle-sum property of a quadrilateral, we get

∠A+∠C=360

∘

−180

∘

=180

∘

.

Since ∠A and ∠C are of equal measure, we obtain ∠A=∠C=

2

180

∘

=90