Question

in the figure below, m∠1 = 96° and m∠kjm = 135°. find m∠2.

Explanation:

Step1: Identify angle - relationship

We know that \(m\angle KJM=m\angle1 + m\angle2\) as \(\angle KJM\) is composed of \(\angle1\) and \(\angle2\).

Step2: Rearrange the formula to solve for \(m\angle2\)

\(m\angle2=m\angle KJM - m\angle1\).

Step3: Substitute the given values

Given \(m\angle1 = 96^{\circ}\) and \(m\angle KJM=135^{\circ}\), then \(m\angle2=135 - 96\).

Step4: Calculate the result

\(m\angle2 = 39^{\circ}\).

Answer:

\(39\)