1. The problem asks to find the measure of angle 1 in a triangle where the other two angles are given as 115° and 38°. 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: $$115° + m\angle 1 + 38° = 180°$$ 4. Combine the known angles: $$115° + 38° = 153°$$ 5. Substitute back: $$153° + m\angle 1 = 180°$$ 6. Solve for $m\angle 1$: $$m\angle 1 = 180° - 153° = 27°$$ 7. Therefore, the measure of angle 1 is $27°$.