1.

If angles of a triangle are in a ratio of 2 : 3 : 4, then find the greatest angle.1. 60°2. 80°3. 90°4. 120°

Answer» Correct Answer - Option 2 : 80°

Given :

The ratio of angles of triangle = 2 : 3 : 4

Concept used :

Sum of all angles of a triangle = 180°

Solution :

Let the first angle be 2x

The second angle = 3x

The third angle = 4x

2x + 3x + 4x = 180°

⇒ 9x = 180°

⇒ x = 20°

∵ The greatest angle = 4x

⇒ The greatest angle = 4 × 20°

∴ The greatest angle is 80°



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