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Question

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


  1. 30o

  2. 60o

  3. 40o

  4. 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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