1. The problem is to find the measure of angle 1 ($m\angle 1$) in a triangle where the other two angles are given as 36° and 96°. 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: $$m\angle 1 + 36 + 96 = 180$$ 4. Combine the known angles: $$m\angle 1 + 132 = 180$$ 5. Subtract 132 from both sides to isolate $m\angle 1$: $$m\angle 1 = 180 - 132$$ 6. Calculate the difference: $$m\angle 1 = 48$$ 7. Therefore, the measure of angle 1 is 48°.