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Question

In NVY, if NV=VY and VY YN, then which of the following is true?


A

NVY = VYN

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B

NVY = YNV

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C

NVY+ 2VYN = 180

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D

VYN + 2NVY = 180

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Solution

The correct option is C

NVY+ 2VYN = 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+2VYN=180.

It is also given that VYYN. Hence the options NVY=VYN and NVY=YNV are not correct.


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