Question

list the side lengths of δwxy in order from shortest to longest, given that m∠w = 101°, m∠y = 45°, and m∠x = 34°. \\(\square < \square < \square\\) submit

Explanation:

Step1: Match angles to opposite sides

In $\Delta WXY$:

• $\angle W$ (101°) is opposite side $XY$
• $\angle X$ (34°) is opposite side $WY$
• $\angle Y$ (45°) is opposite side $WX$

Step2: Order angles from smallest to largest

$34^\circ < 45^\circ < 101^\circ$, so $\angle X < \angle Y < \angle W$

Step3: Pair to shortest to longest sides

The shortest side is opposite the smallest angle, longest opposite largest angle.
So opposite sides follow: $WY < WX < XY$

Answer:

$WY < WX < XY$