Question

in an isosceles trapezium show that the opposite angles are supplementary​

Answer 1

Answer:

Given ABCD is isoscles trapezium in which AD = BC

To prove: (i) Angle A + Angle C = 180

(ii) Angle B + ZD = 180⁰

Proof:AB || CD

⇒ Angle A + Angle D = 180

But Angle A = Angle B[Trapezium is isosceles] Angle B + Angle D = 180° Similarly Angle A + Angle C = 180º

Hence the result.

Answer 2

Answer:

Given

ABCD is isoscles 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.