Question

in the figure below, m∠abc = 72° and m∠1 = 37°. find m∠2.

Explanation:

Step1: Identify angle - relationship

We know that \(m\angle ABC=m\angle 1 + m\angle 2\).

Step2: Solve for \(m\angle 2\)

Rearrange the equation to \(m\angle 2=m\angle ABC - m\angle 1\). Substitute \(m\angle ABC = 72^{\circ}\) and \(m\angle 1 = 37^{\circ}\) into the equation. So \(m\angle 2=72 - 37\).

Answer:

\(35\)