If the interior angles of a triangle are in the ratio 2 : 3 : 5, find the smallest interior angle of the triangle.

60°

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90°

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36°

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72°

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Solution

The correct option is C 36°
Given: Ratio of the interior angles of the triangle = 2 : 3 : 5
Let the interior angles of the triangle are 2x, 3x, and 5x.

We know that sum of interior angles of the triangle = 180°
So, 2x + 3x + 5x = 180°
10x = 180°
Divide both the sides by 10
x = 18°
So, the interior angles of the triangle are 36°, 54°, and 90°.
Hence, the smallest interior angle is 36°.

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