Question

In$△$NVY, NV = VY $\ne$ YN. Which of the following is true?

• A. ∠NVY =∠VYN
• B. ∠NVY =∠YNV
• C. ∠NVY + 2∠VYN = 180º
• D. ∠VYN + 2∠NVY = 180º

Answer 1

The correct option is C

∠NVY + 2∠VYN = 180º

In $△$NVY, NV = VY. So, $\angle$VYN = $\angle$YNV. Using angle sum property of a triangle, we get:

$\angle$NVY +$\angle$VYN + $\angle$YNV = ${180}^{\circ }$

So, $\angle$NVY + 2$\angle$VYN = ${180}^{\circ }$