In △NVY, if NV=VY and VY≠ YN, then which of the following is true?
∠NVY+ 2∠VYN = 180∘
Given, in △NVY, NV = VY.
Then, ∠VYN=∠YNV.
[angles opposite to equal sides of a triangle are equal]
Using angle sum property of a triangle, we get:
∠NVY+∠VYN+∠YNV=180∘
So, ∠NVY+2∠VYN=180∘.
It is also given that VY≠YN. Hence the options ∠NVY=∠VYN and ∠NVY=∠YNV are not correct.