Question

prove that isosceles trapezium is cyclic ​

Answer 1

Answer:

To prove that any given quadrilateral is cyclic, we need to prove that its opposite angles are supplementary (i.e. they add up to 180˚). We need to prove that ∠BAD + ∠BCD = 180 and ∠ADC + ∠ABC = 180˚. ... Since the opposite angles are supplementary, an isosceles trapezium is a cyclic quadrilateral.

Answer 2

Isosceles trapezium is cyclic.

Explanation:

The isosceles trapezoid is the structure in which it has the bases which are parallel and the opposite sides of them or of same length. The angles that are presented in the isosceles trapezoid on the other side of the basis or considered to have the same size and Measurement. Isosceles trapezoid is considered to be cyclic because,

In ABCD, AB//CD in which AD = BC

Therefore we can say that, A=B

But, A+D = 180° because the co-interior angles are supplementary so that,

B+D = 180°  

So that we can say and show that the angles of a and c are supplementary so that isosceles trapezium is cyclic.

To know more:

Prove that the base angles of an isosceles trapezium are equal ...

https://brainly.in/question/7403289

in the adjoining isosceles trapezium ABCD angle C is equal to 102 ...

https://brainly.in/question/12031847