Question

If two angles of two triangles are equal to each other, then the third angle will also be equal to each other.

Using the above statement, choose which two congruency criteria eventually become same.

• A. SAS and ASA
• B. AAS and SAS
• C. AAS and ASA
• D. No two congruency criteria are same

Answer 1

The correct option is C

AAS and ASA

In ASA congruency, the side is included between the two angles, but in AAS congruency, the side is not included. As the two corresponding angles are known to be equal, the third angle will also be equal to its corresponding angle, and thus, the side gets included, making it same as ASA congruency.