1. The problem asks for the measure of angle 1 (m\angle 1) in a triangle where two other angles are given: 30° and 74°. 2. Recall the Triangle Angle Sum Theorem: The sum of the interior angles of a triangle is always 180°. 3. Using this theorem, we write the equation: $$m\angle 1 + 30° + 74° = 180°$$ 4. Combine the known angles: $$m\angle 1 + 104° = 180°$$ 5. Subtract 104° from both sides to isolate m\angle 1: $$m\angle 1 = 180° - 104° = 76°$$ 6. Therefore, the measure of angle 1 is 76°.