1. The problem asks to find the measure of angle 1, denoted as $m\angle 1$, in a triangle where two other angles are given as 33° and 95°. 2. Recall the Triangle Angle Sum Theorem: The sum of the interior angles of a triangle is always 180°. This can be written as: $$m\angle 1 + 33^\circ + 95^\circ = 180^\circ$$ 3. To find $m\angle 1$, subtract the sum of the known angles from 180°: $$m\angle 1 = 180^\circ - (33^\circ + 95^\circ)$$ 4. Calculate the sum inside the parentheses: $$33^\circ + 95^\circ = 128^\circ$$ 5. Substitute back and simplify: $$m\angle 1 = 180^\circ - 128^\circ = 52^\circ$$ 6. Therefore, the measure of angle 1 is 52°.