34 Given 41 and 23 are supplementary Prove m n 2 Given Solut

34. Given 41 and 23 are supplementary. Prove m| |n 2 Given

Solution

Here\' the proof for each question:

34. Since 1 and 3 are supplementry 1+3 =180

Now, 1=2 angle
So, 2+3 = 180
2 and 3 are supplementry. This can only happen if the lines m and n are parallel

35.

2=3, angles cut by same pair of lines segments
Also, 1 and 4 are equal, since 2 angles are equal, 3rd angles B and D will be equal

So, if B=D and A =C the lines AB and CD are parallel