"If two angles and a side of one triangle are equal to two angles and a side of another triangle, then the two triangles must be congruent." Is the statement true? Why
By the congruent rule, the triangles will be congruent either by ASA rule or AAS rule. This is because two angles and one side are enough to construct two congruent triangles.
AAS congruence rule: AAS stands for Angle-Angle-Side. When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of the other triangle, then the triangles are said to be congruent by AAS rule.
ASA congruence rule: ASA stands for Angle-Side-Angle. When two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and the side included between the angles of the other triangle, then the triangles are said to be congruent by ASA rule.
Hence the given statement is true.