Question

Proof that the bisector of an angle of linear pair are at right angle. ​

Answer 1

Answer:

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Step-by-step explanation:

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°

∴∠ECF=90°

Hence Proved.

Answer 2

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