Question

list the side lengths of δefg in order from shortest to longest, given that m∠g = 40°, m∠e = 99°, and m∠f = 41°. □ < □ < □ submit

Explanation:

Step1: Match angles to opposite sides

In $\triangle EFG$, side opposite $\angle E$ is $FG$, side opposite $\angle F$ is $EG$, side opposite $\angle G$ is $EF$.

Step2: Order angles from smallest to largest

Order of angles: $m\angle G=40^\circ < m\angle F=41^\circ < m\angle E=99^\circ$

Step3: Relate to side lengths

In a triangle, shorter sides are opposite smaller angles. So sides follow the same order as their opposite angles.

Answer:

$EF < FG < EG$