Question

what is m∠1? m∠1 = °

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Set up an equation

Let the three angles of the triangle be \(m\angle1\), 78°, and 32°. So \(m\angle1+78^{\circ}+ 32^{\circ}=180^{\circ}\).

Step3: Solve for \(m\angle1\)

\(m\angle1=180^{\circ}-(78^{\circ}+32^{\circ})\). First, calculate \(78^{\circ}+32^{\circ}=110^{\circ}\). Then \(m\angle1 = 180^{\circ}-110^{\circ}=70^{\circ}\).

Answer:

70