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Triangle Sum Theorem The sum of the angle measures in a triangle is 180 degrees. Isosceles Triangles a triangle with at least 2 congruent sides Isosceles Triangle • The congruent sides are called the legs of a triangle. • The angle formed by the legs is the vertex angle. • The side of the triangle opposite the vertex angle is the base. • The angles that have the base as a side are the base angles. Isosceles Triangle Theorem If two sides of a triangle are congruent, the angles opposite them are congruent. Converse Isosceles Triangle Theorem If two angles of a triangle are congruent, the sides opposite them are congruent.