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.
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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
∘
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