Question

in the figure below, m∠1 = 36° and m∠kjm = 64°. find m∠2.

Explanation:

Step1: Identify angle - relationship

We know that \(m\angle KJM=m\angle1 + m\angle2\).

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

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

Step3: Substitute given values

Given \(m\angle1 = 36^{\circ}\) and \(m\angle KJM=64^{\circ}\), then \(m\angle2=64^{\circ}- 36^{\circ}\).

Step4: Calculate the result

\(m\angle2 = 28^{\circ}\).

Answer:

\(28\)