The figure to the right depicts two congruent triangles with angle measures 40^{\circ}, 50^{\circ}, and 90^{\circ}. What is the measure of the obtuse angle \alpha formed by the hypotenuses of these two triangles?

The figure to the right depicts two congruent triangles with angle measures 40^{\circ}, 50^{\circ}, and 90^{\circ}. What is the measure of the obtuse angle \alpha formed by the hypotenuses of these two triangles?
