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27 August, 01:18

Two angles form a linear pair. The measure of one angle is six more than twice the measure of the other angle. Find the measure of each angle.

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Answers (2)
  1. 27 August, 02:02
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    Let one be x, the other is 2x + 6.

    Since they form a linear pair they both add up to 180 degrees.

    x + 2x + 6 = 180

    3x + 6 = 180

    3x = 180 - 6

    3x = 174

    x = 174/3 = 58

    2x + 6 = 2*58 + 6 = 122

    The measure of each angles are 58 and 122 degrees.
  2. 27 August, 03:48
    0
    We let x and y represent the two angles,

    y = 2x + 6

    It was stated in the problem that these angles given are a linear pair. Angles in linear pair are said to add up to 180 degrees. Thus,

    y + x = 180

    2x + 6 + x = 180

    3x = 174

    x = 58°

    y = 122°
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