What is the length of MN

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Question:

What is the length of MN

Answer:

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.]

Subtract x from both sides , we get

Divide bothe sides by x , we get

1= x  or x =1

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

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