The angles of a triangle are in the ratio $2 : 3 : 7$. What is the largest angle?

Explanation

1. 01

   The angles add up to 180°. Total parts = $2 + 3 + 7 = 12$, so one part = 15°.

2. 02

   Largest angle = $7 \times 15^\circ = 105^\circ$.