1. **State the problem:** We need to find the measure of angle 1, denoted as $m \angle 1$, in a triangle where two other angles are given as 93° and 56°. 2. **Recall the triangle angle sum rule:** The sum of the interior angles in any triangle is always 180°. This can be written as: $$m \angle 1 + 93^\circ + 56^\circ = 180^\circ$$ 3. **Calculate the sum of the known angles:** $$93^\circ + 56^\circ = 149^\circ$$ 4. **Find $m \angle 1$ by subtracting the sum of the known angles from 180°:** $$m \angle 1 = 180^\circ - 149^\circ = 31^\circ$$ 5. **Conclusion:** The measure of angle 1 is 31°. Therefore, $m \angle 1 = 31^\circ$.