Which is the hypotenuse-angle theorem? If the hypotenuse and an acute angle of a right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent. If the hypotenuse and an obtuse angle of a right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent. If the hypotenuse and an acute angle of a right triangle are congruent to the corresponding parts of another right triangle, then the triangles are complimentary. If the hypotenuse and an acute angle of a right triangle are congruent to the corresponding parts of another right triangle, then the triangles are supplementary.