Question

find each missing angle measure. 1 j 24° 65° k l m∠l = 。 use the triangle angle - sum theorem.

Explanation:

Step1: Recall angle - sum theorem

The sum of the interior angles of a triangle is 180°. So for triangle JKL, \(m\angle J+m\angle K + m\angle L=180^{\circ}\).

Step2: Substitute known angles

We know that \(m\angle J = 24^{\circ}\) and \(m\angle K=65^{\circ}\). Substituting these values into the equation gives \(24^{\circ}+65^{\circ}+m\angle L = 180^{\circ}\).

Step3: Solve for \(m\angle L\)

First, add 24° and 65°: \(24 + 65=89\). Then the equation becomes \(89^{\circ}+m\angle L=180^{\circ}\). Subtract 89° from both sides: \(m\angle L=180^{\circ}- 89^{\circ}=91^{\circ}\).

Answer:

91