Qstnid -A-10- In An Isosceles-trapezium, Show That The Opposite Angles Are Supplementary. - 17: Special Types Of Quadrilaterals Class 8 Maths - Icse-viii-mathematics

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ICSE-VIII-Mathematics

17: Special Types of Quadrilaterals Class 8 Maths

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#10
In an Isosceles-trapezium, show that the opposite angles are supplementary.
Ans :
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.