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{{ printedBook.courseTrack.name }} {{ printedBook.name }} The Converse Hinge Theorem states that if two sides of a triangle are congruent to two sides of another triangle, and the third side in one of the triangles is longer than the third side in the other triangle, then the included angle in first triangle is larger than the included angle of the second triangle.

Two sides in the left triangle are congruent to two sides in the right triangle. $a>b⇒m∠A>m∠B$
The theorem is named the *Converse* Hinge Theorem because the same thing holds true but in opposite order.