If 2 angles of one triangle are congruent to 2 angles of another triangle, then the third angles must be congruent to each other.

Question

If 2 angles of one triangle are congruent to 2 angles of another triangle, then the third angles must be congruent to each other.

True or false?

Answer 1

Hi Love!

This statement is true, since if a triangle has angles X and Y, and another triangle has angles X and Y, the third angle would be shared as 180-(X+Y). This is due to the third angle being whatever is left after those two angles, and since the first two angles are the same for both, the remnant would also match.