Question

What is theorem of exterior angle of a cyclic quadrilateral?

Answer 1

Answer:

Step-by-step explanation:

The exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.

Answer 2

Answer:

You already solved bro...

Step-by-step explanation:

Statement: The exterior angle of a cyclic quadrilateral is equal to the interior opposite angle

Given: A cyclic quadrilateral ABCD with side CD extended to E.

To prove: Angle ADB = Angle ABC

Proof: Angle ADB + Angle ADC = 180° (Adjacent Angles)

Angle ABC + Angle ADC = 180° (Opposite Angles of Cyclic Quadrilateral)

Therefore,

Angle ADB + Angle ADC = Angle ABC + Angle ADC

Thus, Angle ADC is cancelled as it is on both side with same operation (i.e. '+')

Therefore,

Angle ADB = Angle ABC.

(Hence Proved)

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