Solve the problem. segment bk (k∈ ac ) is the angle bisector of ∠b in δabc. point m is chosen on the side bc so that mk ≅ mb. prove km ∥ ab.

the prove is mentioned below.

Step-by-step explanation:

Here,  Segment BK (K∈ AC ) is the angle bisector of ∠B in ΔABC. Point M is chosen on the side BC so that MK ≅ MB

We have to prove that: KM ∥ AB

Since,  MK = BM

Therefore, ∠ MKB= ∠ MBK

But, ∠MBK=∠ABK  ( Because it is given that BK is the angle bisector)

Therefore By the converse of Interior Alternatiove angle theorem,

KM ∥ AB ( Because ∠MBK and ∠ABK are the angle on lines AB and KM respectively by the same transversal BK)

2

step-by-step explanation:

answer: 177/8

step-by-step explanation: