Every Point on the Bisector of an Angle Is Equidistant from the Sides of the Angle.
State true or...
Question
State true or false:
In the fig below. ABCD is a parallelogram. AF and CE are the bisectors of ∠DAB and ∠BCD respectively, then ∠DCE=∠CEB
A
True
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B
False
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Solution
The correct option is A True Since ABCD is a parallelogram, AB∥CD as opposite sides of a parallelogram are parallel. And CE is the transversal passing through AB and DC. ⇒∠DCE=∠CEB ...... (Alternate angles)