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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:

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 class=

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Answer:

30 degrees

Explanation:

Let the ratio's be in x, 2x, 3x

Total Interior Angle of a triangle sum ups to 180°

  • x + 2x + 3x = 180°
  • 6x = 180°
  • x = 180°/6 = 30°

The smallest angle which is x is 30°

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