Question

What is the length of MN

Answer 1

Answer: D. 4

Step-by-step explanation:

In the given picture , we have given a triangle ΔMLN in which

ML= 4x and MN= x+3

∠L=∠N=50°

⇒ MN=ML   [∵ Basically by Isosceles triangle property :sides opposite to equal angles of a triangle area equal.]

$\Rightarrow\ x+3=4x$

Subtract x from both sides , we get

$3=3x$

Divide bothe sides by x , we get

1= x  or x =1

Then, the length of MN = x+3=1+3=4 units