We have seen in the Triangle Sum<span> Conjecture that the</span>sum<span> of the </span>angles<span> in any triangle is 180 degrees. The</span>Quadrilateral Sum<span> Conjecture tells us the </span>sum<span> of the</span>angles<span> in any convex </span>quadrilateral<span> is 360 degrees. Remember that a polygon is convex if each of its</span>interior angles<span> is less that 180 degree.</span>