# Prove that the bisectors of a pair of vertically opposite angles are in the same straight line.

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Prove that the bisectors of a pair of vertically opposite angles are in the same straight line.

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Given,

Lines AOB and COD intersect at point O such that

∠AOC = ∠BOD

Also OE is the bisector ∠ADC and OF is the bisector ∠BOD

To prove: EOF is a straight line vertically opposite angles is equal.