Question

Q1. In a cyclic quadrilateral the difference between two opposite angles is 56 degrees Find the measure of opposite angle​

Answer 1

Answer:

Given,

∠ADC=51

∘

∠ABC+∠CBE=180

∘

[linear pair]

∠ABC+∠ADC=180

∘

[Opposite angles of cyclic quadrilateral]

Equating LHS of above two equations, we get

∠ABC+∠CBE=∠ABC+∠ADC

⇒∠CBE=∠ADC

⇒∠CBE=∠ADC=51