Question

use what you know about the interior angle measures of triangles to complete this problem. triangle jkl is a right triangle, and the measure of angle j is 28°. what are the measures of the other two angles? angle k angle l

Explanation:

Step1: Recall triangle - angle sum property

The sum of the interior angles of a triangle is 180°. In a right - triangle, one angle is 90°.

Step2: Determine one angle

Since it's a right - triangle, assume angle \(K = 90^{\circ}\) (by the definition of a right - triangle).

Step3: Calculate the third angle

Let angle \(L\) be the unknown non - right angle. We know that \(\angle J+\angle K+\angle L = 180^{\circ}\). Given \(\angle J = 28^{\circ}\) and \(\angle K = 90^{\circ}\), then \(\angle L=180^{\circ}-\angle J - \angle K=180^{\circ}-28^{\circ}-90^{\circ}=62^{\circ}\).

Answer:

Angle \(K = 90^{\circ}\)
Angle \(L = 62^{\circ}\)