Question

list the angle measures of δefg in order from smallest to largest. assume that u is a positive number.

m∠□ < m∠□ < m∠□

Explanation:

Step1: Match angles to opposite sides

In a triangle, each angle is opposite one side:

• $\angle E$ is opposite $GF = 26u$
• $\angle F$ is opposite $EG = 36u$
• $\angle G$ is opposite $EF = 35u$

Step2: Order sides by length

Since $u>0$, compare the side lengths:
$26u < 35u < 36u$

Step3: Relate to angle measures

In any triangle, the smallest angle is opposite the shortest side, and the largest angle is opposite the longest side.
So the angles follow the reverse order of their opposite sides.

Answer:

$m\angle E < m\angle G < m\angle F$