Question

in the figure below, m∠jkm = 131° and m∠2 = 77°. find m∠1.

Explanation:

Step1: Recall angle - addition property

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

Step2: Rearrange the formula to solve for \(m\angle1\)

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

Step3: Substitute the given values

Given \(m\angle JKM = 131^{\circ}\) and \(m\angle2=77^{\circ}\), then \(m\angle1=131 - 77\).

Step4: Calculate the result

\(m\angle1 = 54^{\circ}\).

Answer:

\(54\)