1. The problem asks for the measure of angle 1, denoted as $m\angle 1$. 2. We are given a triangle with two angles measuring 32° each, and the third angle is $m\angle 1$. 3. Recall the Triangle Angle Sum Theorem: The sum of the interior angles of a triangle is always 180°. 4. Using this theorem, we write the equation: $$m\angle 1 + 32 + 32 = 180$$ 5. Simplify the sum of the known angles: $$m\angle 1 + 64 = 180$$ 6. Subtract 64 from both sides to isolate $m\angle 1$: $$m\angle 1 = 180 - 64$$ 7. Calculate the difference: $$m\angle 1 = 116$$ 8. Therefore, the measure of angle 1 is 116°.