Question

If non -parallel sides of a trapezium are equal, prove that it is cyclic..

Answer 1

Answer:

Given ABCD is isoscles trapezium in which AD=BC

To prove: (i)∠A+∠C=180

(ii)∠B+∠D=180o

Proof:AB∥CD

⇒∠A+∠D=180

But ∠A=∠B[Trapezium is isosceles]

∠B+∠D=180o

Similarly ∠A+∠C=180o

Hence the result.