Three angles of a triangle in ratio $1:2:3$. Largest angle is

Three angles of a triangle in ratio $1:2:3$. Largest angle is
  1. $90^{\circ}$
  2. $60^{\circ}$
  3. $120^{\circ}$
  4. $30^{\circ}$

Solution

$6k = 180 \Rightarrow k = 30$. Largest $= 3k = 90^{\circ}$.

Asked in: IMO

Practice more LINEAR EQUATIONS IN ONE VARIABLE questions on Aicharya