If the angles of a triangle are in the ratio 1 : 2 : 3, determine three angles.

Given that the angles of the triangle are in ratio 1 : 2 : 3

Let, the angles be a, 2a, 3a


Therefore, we know that


Sum of all angles if triangle is 180o


a + 2a + 3a = 180o


6a = 180o


a =


a = 30o


Since, a = 30o


2a = 2 (30o) = 60o


3a = 3 (30o) = 90o


Therefore, angles are a = 30o, 2a = 60o and 3a = 90o


Hence, angles are 30o, 60o and 90o.


2