Fill in blank 1 and blank 2 to explain why angle-side-angle congruence imply angle-angle-side congruence. if two pairs of angles and a pair of corresponding non-included sides of two triangles are congruent, then by the third angle theorem, the ( is also congruent. therefore, the side that was not included by the original pair of angles is now ( between two congruent angles. so, by angle-side-angle congruence, the triangles are congruent.