Question

1. choose the correct answer.

the third angles theorem states that if two angles of one triangle are congruent to two angles of a second triangle, then the third angle of the first triangle will also be congruent to the ___ angle of the second triangle.
fourth
second
third
first

Explanation:

The Third Angles Theorem is a geometric principle. In a triangle, the sum of angles is \(180^{\circ}\). If two angles of one triangle are congruent to two angles of another triangle, then the remaining (third) angles must be congruent. This is because \(180^{\circ}-\text{(sum of two congruent angles)} \) for both triangles will be equal.

Answer:

third