The three angles of a triangle are in the ratio $2 : 3 : 4$. What is the largest angle?

हल

1. 01

   The angles of any triangle add to $180^\circ$.

2. 02

   The ratio has $2 + 3 + 4 = 9$ parts, so one part is $180^\circ \div 9 = 20^\circ$.

3. 03

   The largest angle has 4 parts: $4 \times 20^\circ = 80^\circ$.

4. 04

   Check: $40^\circ + 60^\circ + 80^\circ = 180^\circ$.