 Hello friends, welcome to the session, I am Alka, let's discuss the given question that is S and T are points on sides P r and Q r of triangle P Q r such that angle P equal to angle R T S. Show that triangle R P Q is similar to triangle R T S. According to the question our figure is triangle R P Q where angle P is equal to angle R T S. Let's start with the solution. We are given S R Q respectively. We are also given that angle P equal to angle S. Now we have to show triangle R P Q is similar to triangle R T S. Start with the proof. In triangle Q we have angle P equal to angle R T S. We are given S angle P R Q T R. It is common angle for both the triangles. So we can say angle P R Q equal to angle T R common in both the triangles R P Q and R T S. Therefore, by criteria of similarity we all know that in AA criteria if two angles of one triangle are respectively equal to two angles of other triangle then the two triangles are similar. So we can say that triangle P Q is similar to triangle R T S proved. Hope you understood this solution and enjoy the session. Goodbye and take care.