1. The problem asks for the measure of angle 1 (m\angle 1) in a triangle where the other two angles are 95\degree and 32\degree. 2. Recall that the sum of the interior angles in any triangle is always 180\degree. 3. Use the formula for the sum of angles in a triangle: $$m\angle 1 + 95\degree + 32\degree = 180\degree$$ 4. Combine the known angles: $$95 + 32 = 127$$ 5. Substitute back: $$m\angle 1 + 127 = 180$$ 6. Solve for m\angle 1: $$m\angle 1 = 180 - 127 = 53$$ 7. Therefore, the measure of angle 1 is 53\degree.