If two angles of one triangle are congruent to two angles of another triangle, then the are congruent. this is the answer that it given me triangles third sides third angles sides

Answer with explanation:

 It is given that , two angles of one triangle are congruent to two angles of another triangle.

Let A, B and C are three Angles of first triangle,and P ,Q and R are three Angles of another Triangle.

Also, A+B=P +Q(1)[Given]

→A+B+C=180°[Using Angle sum property of triangle of first triangle](2)

→P+Q+R=180°[Using Angle sum property of triangle of second triangle]---(3)

Equating (2) and (3)

⇒A+B+C=P+Q+R

⇒C=R[Using 1]

Third Angle of two triangle are congruent to each other.

Option C:→ Third Angles