If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
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
