Question

Side AB of a cyclic quadrilateral ABCD is produced to a point E. If angle ADC = 120°, then find angle ABC and angle CBE
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Answer 1

Answer:

Angle ABC=60° ( opposite sides of f a cyclic quadrilateral are supplementary)

Step-by-step explanation:

ANGLE EBC=120°{Exterior angle property of a cyclic quadrilateral}

Answer 2

Answer:

angle abc=60° and angle cbe=120°

Step-by-step explanation:

Angle ADC+ANGLE ABC=180°(because of cyclic quadrilateral)

=ADC+ABC=180°

=120°+ABC=180°

=ABC=180°-120°

=ABC=60°

AND ABC+CBE=180°{ BY LENIAR PAIR }

=60°+CBE=180°

=CBE=180°-60°

=CBE=120° Answer