Question

angles and triangles - unit test a
question 18

1. in triangle jkl, ∠j measures 25.8°, and ∠k is a right angle. what is the measure of ∠l?

your answer

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). A right angle is \(90^\circ\), so \(\angle K = 90^\circ\), \(\angle J = 25.8^\circ\), and we need to find \(\angle L\).

Step2: Calculate \(\angle L\)

Using the formula \(\angle J+\angle K+\angle L = 180^\circ\), substitute the known values: \(25.8^\circ + 90^\circ+\angle L=180^\circ\). Then, \(\angle L=180^\circ - 25.8^\circ - 90^\circ\). Calculate \(180 - 25.8 - 90 = 64.2\), so \(\angle L = 64.2^\circ\).

Answer:

\(64.2^\circ\)