Question

In triangle ,A-M-B,A-N-C and line segment MN is parallel to line segment BC.If AM =x,MB=x-2,An=x+2 and NC =x-1, find the value of x.
​

Answer 1

Answer:

In ΔABC

∠M=∠B

∠N=∠C

Also, sides AB & AM are in ratio.

So, ΔAMN≅ΔABC

Hence,

2

6+2

=

5

x+5

x=15.