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Question

In a triangle, the angles are in ratio 1:3:2. Find the difference between the greatest and smallest angle of the triangle.

A
10o
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B
70o
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C
60o
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D
20o
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Solution

The correct option is C 60o
Given, the angles are in the ratio 1:3:2.

Let the angles be x,3x and 2x.

Using angle sum property of triangle,
x+3x+2x=1806x=180x=30.

So the angles are :
x=30,
3x=3×30=90
and 2x=2×30=60.

Therefore, the difference between the greatest and the smallest angle =9030=60.

Hence, option C is correct.

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