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11 July, 13:55

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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  1. 11 July, 15:33
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    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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