Question

order the angle measures m∠i, m∠j, and m∠k from least to greatest. (note that the figure is not drawn to scale.)

Explanation:

Step1: Recall angle - side relationship

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

Step2: Identify side - angle pairs

Side opposite $\angle I$ is $6$, side opposite $\angle J$ is $9$, side opposite $\angle K$ is $7$.

Step3: Order the sides

The order of side lengths from least to greatest is $6<7<9$.

Step4: Order the angles

So the order of angle measures from least to greatest is $m\angle J

Answer:

$m\angle J < m\angle K < m\angle I$