Question

triangle jkl is isosceles. the measure of angle j is 72° and the measure of angle k is 36°. which statement describes angle l?
angle l is a vertex angle and measures 36°
angle l is a base angle and measures 72°
angle l is a vertex angle and measures 72°
angle l is a base angle and measures 36°

Explanation:

Step1: Calculate the measure of angle \( L \)

The sum of angles in a triangle is \( 180^{\circ} \). Let \( \angle J = 72^{\circ} \), \( \angle K=36^{\circ} \). Then \( \angle L=180^{\circ}-\angle J - \angle K \).

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Step2: Determine if it is a base or vertex angle

In an isosceles triangle, base angles are equal. Since \( \angle J=\angle L = 72^{\circ} \), angle \( L \) is a base angle.

Answer:

Angle \( L \) is a base angle and measures \( 72^{\circ} \)