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Question
In an Isosceles-trapezium, show that the opposite angles are supplementary.
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Solution
Given : ABCD is isosceles trapezium in which AD = BC
To Prove :
(i) ∠A + ∠C = 180°
(ii) ∠B + ∠D = 180°
Proof : AB || CD.
⇒ ∠A + ∠D = 180°
But ∠A = ∠B [Trapezium is isosceles)]
∠B + ∠D = 180°
Similarly ∠A + ∠C = 180°
Hence the result.
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