Angles of a triangle are in the ratio $2 : 4 : 3$ . The smallest angle of the triangle is:

$60 °$

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$40 °$

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$80 °$

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$20 °$

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Solution

The correct option is B
$40 °$

Applying the angle-sum property of a triangle:
Given data:
The angles of a triangle are in the ratio $2 : 4 : 3$ .
So, assume the angles to be $2 x, 4 x, 3 x$ .
The sum of the angles of a triangle equals $180^{\circ}$ .
So,
$2 x + 4 x + 3 x = 180 ° \Rightarrow 9 x = 180 ° \Rightarrow x = 20 °$
Therefore, the smallest angle is $2 x = 2 \times 20 ° = 40 °$ .
Hence, the correct option is (B).

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