One of the basic question from similarity chapter in which we have been asked to prove if in two right triangles, one of the acute angles of one triangle is equal to an acute angle of the other triangle. Are these two triangles are similar?

Class 10, similarity chapter 13(i), question no 3

Let two right angled triangles be, âˆ†LMO and âˆ†RST In which âˆ L = âˆ R = 90Â° And âˆ M = âˆ S [Acute angle] By angle sum property of triangle that, sum of interior angles of a triangle is 180Â°. Angle O of first triangle must be equal to angle T of second triangle. So, âˆ O = âˆ T Hence, by AAA similarity criteria, We have, âˆ†LMO âˆ¼ âˆ†RST