Question : The angles of a triangle are in the ratio 2 : 3 : 4. What is the largest angle of the triangle?
Option 1: $80^{\circ}$
Option 2: $100^{\circ}$
Option 3: $90^{\circ}$
Option 4: $120^{\circ}$
Correct Answer: $80^{\circ}$
Solution :
Given: The angles of a triangle are in the ratio 2 : 3 : 4.
The sum of angles of the triangle is $180^{\circ}$.
The sum of the ratios = 2 + 3 + 4 = 9.
Largest angle = $180^{\circ}\times\frac{4}{9}=80^{\circ}$.
Hence, the correct answer is $80^{\circ}$.
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