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Prove that bisector of linear pair angle enclose a right angle ?
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Prove that bisector of linear pair angle enclose a right angle ?
Angles ACD and DCB are a linear pair. Sum of these angles = 180 deg
ACD + DCB = 180 deg

CE is bisector of angle ACD.
CF is bisector of angle DCB.

To prove that angle ECF = 90 deg.

ECF = ECD + DCF = 1/2 ACD + 1/2 DCB
         = 1/2 { angle ACD + angle DCB ] = 1/2 180 deg = 90 deg



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Prove that bisector of linear pair angle enclose a right angle ?
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