Question

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

Explanation:

Step1: Find angle X

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

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.

Step3: Compare sides

Since $m\angle V>m\angle X > m\angle W$, the side opposite $\angle V$ is XV, the side opposite $\angle X$ is WX and the side opposite $\angle W$ is VW. So, XV > WX > VW.

Answer:

C. XV > WX > VW