Answer
$m∠1$ = $83.1^{\circ}$
Work Step by Step
The measures of the three angles of a triangle equal $180^{\circ}$; therefore, if we have the measure of the other two angles, we can figure out the measure of $∠1$.
Let $x$ equal $m∠1$:
$52.2 + 44.7 + x = 180$
Add the constants on the left side together:
$96.9 + x = 180$
Subtract $96.9$ from each side to solve for $x$:
$x = 83.1$
$m∠1$ = $83.1^{\circ}$
