Question

3)Prove that the bisectors of the angles of a linear pair are at right angles.
:) If on straight line there are three angles 6x , 4x and 8x. Find the value of x.

(In written only )​

Answer 1

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°

∴∠ECF=90°

Hence Proved.

hope it helps

please mark me brainliest