Question
Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is
Answer: Option A
:
A
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A
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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