1. The problem asks for the measure of angle 1 in a triangle where the other two angles are 32° and 34°. 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: $$m\angle1 + 32 + 34 = 180$$ 4. Combine the known angles: $$m\angle1 + 66 = 180$$ 5. Subtract 66 from both sides to isolate $m\angle1$: $$m\angle1 = 180 - 66$$ 6. Calculate the difference: $$m\angle1 = 114$$ 7. Therefore, the measure of angle 1 is 114°.