1. The problem asks to find the measure of angle 1, denoted as $m\angle 1$, in a triangle where the other two angles are given as 50° 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: $$m\angle 1 + 50 + 38 = 180$$ 4. Combine the known angles: $$m\angle 1 + 88 = 180$$ 5. Subtract 88 from both sides to isolate $m\angle 1$: $$m\angle 1 = 180 - 88$$ 6. Calculate the result: $$m\angle 1 = 92$$ 7. Therefore, the measure of angle 1 is 92°.