Geometry

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A regular polygon has an exterior angel measure of (x+3) Degrees and an interior angle measure of (13x-33) degrees

Find the measure of each angle

How mant sides does this polygon have?

  • Geometry -

    Look at a pair of interior and exterior angles.
    Don't they form a straight line, so
    13x-33 + x+3 = 180
    14x = 210
    x = 15

    each exterior angle is 18°
    and each interior is 162°

    the sum of all exterior angles is always 360
    so each angle is 360/18 or 20 angles

    20 angles ----> 20 sides

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