Question

an exterior angle of a cyclic quadrilateral is congruent to the angle opposite to its adjacent interior angle ​

Answer 1

Bhai bhot simple hai

yeh

Dekh

angle ADC + angle ADE =180.(linear pair)

now quadrilateral ABCD is a cyclic Quadrilateral

so angle ABC + angle ADC =180

(property of cyclic Quadrilateral)

so therefore

angle ABC + angle ADC = angle ADC + angle ADE

therefore

angle ABC = angle ADE

the angle ADC gets cancelled

hope you get it