Corollary of cyclic quadrilateral theorem
An exterior angle of a cyclic quadrilateral is congruent to the angle opposite
to its adjacent interior angle.
Write the proof of the theorem yourself.
please solve this.
Answers
Answer:
ANSWER
Given: Side DC of cyclic quadrilateral ABCD is produced and point E is taken on it.
To Prove: ∠BCE≃∠BAD
Proof: ∠BCE+∠BCD=180
o
(Angles in a linear pair) ...... (1)
∠BAD+∠BCD=180
o
(Opposite angles of a cyclic quadrilateral) ...... (2)
From (1) and (2)
∠BCE≃∠BAD
Hence an exterior angle of cyclic quadrilateral is congruent to the angle opposite to its adjacent interior angle.
Answer:
Correct explanation
Step-by-step explanation:
Given: Side DC of cyclic quadrilateral ABCD is produced and point E is taken on it.
To Prove: ∠BCE≃∠BAD
Proof: ∠BCE+∠BCD=180
o
(Angles in a linear pair) ...... (1)
∠BAD+∠BCD=180
o
(Opposite angles of a cyclic quadrilateral) ...... (2)
From (1) and (2)
∠BCE≃∠BAD
Hence an exterior angle of cyclic quadrilateral is congruent to the angle opposite to its adjacent interior angle.
