Question

# Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is30o 60o 40o 80o

Solution

## The correct option is C 40o The sum of all the three angles of a triangle = 180∘ Since the angles are in the ratio 2 : 4 : 3, let x be a factor such that, 2x + 4x + 3x=180∘ => 9x = 180∘ => x = 20∘ Hence the three angles of the triangle are: => 2x = 40∘ => 4x = 80∘ => 3x = 60∘ So the smallest angle in the given triangle is 40∘.

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