Question

5.
If the non-parallel sides of a trapazlum are equal, prove that it is cyano​

Answer 1

Answer:

AB||DC

AD and BC are non parallel sides

AD = BC (given)

in ∆ ADF and∆ BEC

AD = BC(given)

angle AFD =angle BEC (90°)

AF= BE(because AB||DC)

so∆AFD parallel to ∆BEC(RHS)

angle D=angle C (CPCT)

angle A + angle D =180°

angle D +angle C = 180°

so it is a cyclic quadrilateral