Question

in △vwx, m∠v = 113° and m∠w = 15°. which statement about the sides of △vwx must be true? answer: o xv > vw > wx o xv > wx > vw o vw > wx > xv o vw > xv > wx o wx > vw > xv o wx > xv > vw

Explanation:

Step1: Find angle X

The sum of angles in a triangle is 180°. So, $m\angle X=180^{\circ}-(113^{\circ} + 15^{\circ})=52^{\circ}$.

Step2: Recall angle - side relationship

In a triangle, the longest side is opposite the largest angle and the shortest side is opposite the smallest angle.
The largest angle is $\angle V = 113^{\circ}$, the second - largest is $\angle X=52^{\circ}$ and the smallest is $\angle W = 15^{\circ}$.
The side opposite $\angle V$ is $WX$, the side opposite $\angle X$ is $VW$ and the side opposite $\angle W$ is $XV$.
So, $WX>VW>XV$.

Answer:

WX > VW > XV