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  • 25-07-2017
  • Mathematics
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The measures of all of the interior angles of a triangle are in the extended ratio 1 : 2 : 3. The value of the smallest angle is

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Аноним Аноним
  • 25-07-2017
The sum of the interior angles of a triangle is 180°.

Let's suppose that all 3 angles in the ratio are divisible by a value x.

So the three angles become 1x, 2x and 3x.

1x + 2x + 3x = 180°

6x = 180°

x = 30° [ By dividing both sides by 6 ]

Thus the three angles are: 1x = 30° ; 2x = 2*30 = 60° ; 3x = 3*x = 90°

Hence the smallest angle is 30°.
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