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12 November, 19:27

Angle ABD and angle BDE are supplementary. Find the measures of both angles.

m angle ABD = 5x degrees, m angle BDE = (17x-18) degrees

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  1. 12 November, 19:49
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    By definition of supplementary angles,

    ∠ABD + ∠BDE = 180

    5x + 17x - 18 = 180

    22x = 198

    x = 9

    ∠ABD = 5 (9) = 45°

    ∠BDE = 180 - 45 = 135°
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