X23 Postulate 23 Gi ep 30 Solution30 I am writing the entire

Solution

30.

I am writing the entire proof below. Give a thumbs up in case I\'ve been of help, otherwise post comment for me take up your doubts:

Statement in question gives out facts:

KM = 35

KL = 2x-5

LM = 2x

Solving , we know that KM = KL + LM, hence,

KM = KL+LM = 2x-5+2x = 4x-5 ( as given in figure, KM is a line)

It is given that KM = 35, so equating :

Now, KM = 4x-5 = 35

4x = 40

x = 10

Subbing value of x = 10 in the following:

KL = 2x-5 = 2*10 -5 = 15

KL = 15

<Hence proved>