Prove that opposite angles of an isosceles trepezium are equal .
Asked by Vikas
| 12th Jan, 2018,
10:56: AM
Error in question the opposite angles are supplementary can't be equal
In an isosceles trapezium, AB is parallel to DC and the alternate interior angles are supplementary. So, the angles ∠A and ∠D are supplementary.which means
∠A + ∠D = 180
Similarly, ∠B and ∠C are supplementary.
so, ∠B + ∠C = 180
Since the trapezium is the isosceles trapezium, the base angles are equal. ∠C = ∠D So by substituting the angles we get
∠A + ∠C = 180
∠B + ∠D = 180
so the opposite angles are also supplementary
Answered by Arun
| 12th Jan, 2018,
02:25: PM
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