Prove that the bisectors of the angles of a linear pair are at right angle.
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1
Answer:
bisector of an angle means, half the angle.Therefore the angle is a right angle for a linear pair
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Answer:
Given:-
∠ACD and ∠BCD are linear pairs.
CE and CF bisect ∠ACD and ∠BCD respectively.
To prove: ∠ECF=90°
Proof:-
As we know that angle on a straight line is 180°.
∴∠ACD+∠BCD=180°
⇒2∠ECD+2∠DCF=180°(∵CE and CF bisects ∠ACD and ∠BCD respectively)
⇒∠ECD+∠DCF=
2
180°
=90°
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