Prove the following converse to the Vertical Angles Theorem: If A, B, C,D, and E are points such that A * B * C, D and E are on opposite sides of ?AB, and ?DBC ? ?ABE, then D, B, and E are collinear.

Ronnie Rojas

Ronnie Rojas

Answered question

2022-08-02

Prove the following converse to the Vertical Angles Theorem: If A, B, C,D, and E are points such that A * B * C, D and E are on opposite sides of ?AB, and ?DBC ? ?ABE, then D, B, and E are collinear.

Answer & Explanation

Tamia Campbell

Tamia Campbell

Beginner2022-08-03Added 14 answers

<DBA = 180-Now <DBC = Thus <DBA = 180-=> <DBA+<ABE = 180.
Thus D,B,E are collinear.

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