What is the measure of the largest angle of a triangle whose angles are in the ratio 4 : 5 : 9?

50^o

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100^o

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40^o

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90^o

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Solution

The correct option is D
90^o

Let the angles be 4x, 5x and 9x.

We know, sum of angles of a triangle is 180^o.

therefore 4x + 5x + 9x = 180^o

18x = 180^o

x = 10^o

Thus, measure of largest angle = 9x = 9 × 10^o = 90^o

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