Question

third angle theorem
if two angles of a triangle are __________ to
two angles of another triangle, then the third
angles of those triangles are also __________.
$\triangle abc, mangle a + mangle b + mangle c = ______\degree$

Explanation:

The Third Angle Theorem relies on the triangle angle sum property, which states the total interior angles of any triangle equal 180 degrees. If two pairs of angles in two triangles are equal (congruent), the remaining third angles must also be equal to satisfy the 180-degree sum.

Answer:

1. congruent
2. congruent
3. 180

Full completed theorem:
If two angles of a triangle are congruent to two angles of another triangle, then the third angles of those triangles are also congruent.
$\triangle ABC, m\angle A + m\angle B + m\angle C = 180^\circ$