etorresg06 etorresg06
  • 07-04-2018
  • Mathematics
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The measures of the angles of triangle LMN are in the ratio 1:2:5. What are the measures of the angles?

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jushmk
jushmk jushmk
  • 12-04-2018
If the angles are in this order: L:M:N = 1:2:5

Let Angle l = x, then angle M = 2x and angle N = 5x

The summation of the angles is 180 degrees. That is,
x+2x+5x = 180 => 8x=180 => x (that is angle L) =180/8 = 22.5°
Angle M = 2x = 2*22.5 = 45°
Angle N = 5x =5*22.5 = 112.5°

The angles of the triangle are 22.5°, 45° and 112.5°
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