Question

in the figure below, m∠abc = 73° and m∠1 = 37°. find m∠2.

Explanation:

Step1: Identify angle - relationship

We know that \(m\angle ABC=m\angle1 + m\angle2\) (by the angle - addition postulate).

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

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

Step3: Substitute the given values

Given \(m\angle ABC = 73^{\circ}\) and \(m\angle1 = 37^{\circ}\), then \(m\angle2=73 - 37\).
\(m\angle2 = 36^{\circ}\)

Answer:

\(36\)