Final answer:
The smallest angle of the triangle is 20°.
Step-by-step explanation:
To find the smallest angle of a triangle given that the difference and sum of two angles are 30° and 110° respectively, we need to solve a system of equations. Let x represent the smallest angle. The other two angles can be represented as (x+30)° and (x+110)°. The sum of all angles in a triangle is 180°, so we have the equation x + (x+30) + (x+110) = 180. Solving for x, we get x = 20°.
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