The measure of the largest angle in a triangle is 18° more than the sum of the measures of the other two angles. The measure of the smallest angle is one-half the measure of the middle angle. Find the measure of each angle.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).