Question

1. find m∠1. 44° 53° 76° 69° 63°

Explanation:

Step1: Recall angle - sum property of a triangle

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

Step2: Set up the equation

Let the three angles of the triangle be \(m\angle1\), 44°, and 53°. So, \(m\angle1+44^{\circ}+53^{\circ}=180^{\circ}\).

Step3: Solve for \(m\angle1\)

\[

$$\begin{align*} m\angle1&=180^{\circ}-(44^{\circ} + 53^{\circ})\\ &=180^{\circ}-97^{\circ}\\ &=83^{\circ} \end{align*}$$

\]
However, there seems to be an error in the multiple - choice options provided as 83° is not among them. If we assume there was a calculation error in the problem - setup and we follow the steps correctly based on the sum of angles in a triangle concept.

Answer:

There is no correct option among the given ones as the correct measure of \(m\angle1\) is \(83^{\circ}\)