Question

list the side lengths of δwxy in order from shortest to longest, given that m∠y = 47° and m∠x = 35°. \\(\square < \square < \square\\) submit

Explanation:

Step1: Find $\angle W$

The sum of angles in a triangle is $180^\circ$.
$$m\angle W = 180^\circ - 47^\circ - 35^\circ = 98^\circ$$

Step2: Match sides to opposite angles

In a triangle, the shortest side is opposite the smallest angle, and the longest side is opposite the largest angle:

• Smallest angle: $m\angle X=35^\circ$, opposite side $WY$
• Middle angle: $m\angle Y=47^\circ$, opposite side $WX$
• Largest angle: $m\angle W=98^\circ$, opposite side $XY$

Answer:

$WY < WX < XY$