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19 April, 01:40

One interior angle of a regular pentagon measures (4X + 8) degrees. Find X.

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Answers (2)
  1. 19 April, 01:47
    0
    Answer: 25

    Step-by-step explanation:

    Regular means all the angles in the pentagon are the same.

    The formula to find the sum of the interior angles in an n-sided figure is:

    180 (n-2). Pentagons have 5 sides so the total sum is 180 (5-2) = 540.

    There are five angles in a pentagon so each angle is 540/5 = 108 degrees.

    4x + 8 = 108

    4x = 100

    x = 25
  2. 19 April, 01:58
    0
    25

    Step-by-step explanation:

    In order to find the value of the interior angle of a regular polygon, the equation is ((n-2) 180) / n where n is the number of sides of the regular polygon.

    For pentagon, it's has five sides

    The formula is ((n-2) 180) / n

    ((5-2) 180) / 5 = 3 * 180/5 = 540/5 = 108

    Since from the question one interior angle measures (4X + 8)

    so 4x+8 = 108

    4x = 108-8 = 100

    x = 100/4 = 25
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