1. The problem is to find the measure of angle 1 in a triangle where the other two angles are 74° and 33°. 2. Recall the Triangle Angle Sum Theorem: The sum of the interior angles of a triangle is always 180°. 3. Using the theorem, we write the equation: $$m\angle1 + 74 + 33 = 180$$ 4. Combine the known angles: $$m\angle1 + 107 = 180$$ 5. Solve for $m\angle1$ by subtracting 107 from both sides: $$m\angle1 = 180 - 107 = 73$$ 6. Therefore, the measure of angle 1 is 73°.