Question

1. list the following angles (∠g , ∠h, ∠j) from smallest to largest.
2. write the sides of △efg in order in the boxes from the longest side to the shortest side.

• m∠e = 68°
• m∠f = 62°

Explanation:

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Step1: Match angles to opposite sides

In $\triangle GHJ$:
$\angle G$ opposite $JH=24$, $\angle H$ opposite $GJ=22$, $\angle J$ opposite $GH=23$

Step2: Sort angles by side length

Side order: $22 < 23 < 24$, so angle order: $\angle H < \angle J < \angle G$
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Step3: Calculate $\angle G$

$\angle G = 180^\circ - 68^\circ -62^\circ = 50^\circ$

Step4: Match sides to opposite angles

Side $FG$ opposite $\angle E=68^\circ$, $EG$ opposite $\angle F=62^\circ$, $EF$ opposite $\angle G=50^\circ$

Step5: Sort sides by angle size

Angle order: $68^\circ >62^\circ>50^\circ$, so side order: $FG > EG > EF$
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Answer:

1. $\boldsymbol{\angle H < \angle J < \angle G}$
2. Longest Side: $FG$, Medium Side: $EG$, Shortest Side: $EF$