Question

prove that angle ABD =angle ADE​

Answer 1

Step-by-step explanation:

ABC + ADC = 180 ...(1) ...Opposite angles of a cyclic quadrilateral.

ADC + ADE = 180 ...(2) ...Angles in a linear pair.

From 1 and 2,

ABC + ADC = ADC + ADE

ABC = ADE

Answer 2

Step-by-step explanation:

In cyclic quadrilateral,

angle ABC + angle ADC = 180 -----------(i)

similarly, angle ADC + angle ADE =180 ----------(ii)

so, from equation i and ii, we get angle ABC = angle ADE