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    Polygons Review Stations

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    api-305706424
    m!ALK is 110 degrees because all interior angles of regular polygons are equal and pentagons have interior angles of 108 degrees. The polygon has 27 sides because the sum of the interior angles of an n-sided polygon is (n-2)180 degrees and 1620 degrees is the sum for a 27-sided polygon. y is 15 degrees because one interior hexagon angle is 150 degrees (6y + 30) and another is 135 degrees (9y - 15), which means y must be 15.

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    Polygons Review Stations

    Uploaded by

    api-305706424
    207 views5 pages
    m!ALK is 110 degrees because all interior angles of regular polygons are equal and pentagons have interior angles of 108 degrees. The polygon has 27 sides because the sum of the interior angles of an n-sided polygon is (n-2)180 degrees and 1620 degrees is the sum for a 27-sided polygon. y is 15 degrees because one interior hexagon angle is 150 degrees (6y + 30) and another is 135 degrees (9y - 15), which means y must be 15.

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    m!ALK is 110 degrees because all interior angles of regular polygons are equal and pentagons have interior angles of 108 degrees. The polygon has 27 sides because the sum of the interior angles of an n-sided polygon is (n-2)180 degrees and 1620 degrees is the sum for a 27-sided polygon. y is 15 degrees because one interior hexagon angle is 150 degrees (6y + 30) and another is 135 degrees (9y - 15), which means y must be 15.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    207 views5 pages

    Polygons Review Stations

    Uploaded by

    api-305706424
    m!ALK is 110 degrees because all interior angles of regular polygons are equal and pentagons have interior angles of 108 degrees. The polygon has 27 sides because the sum of the interior angles of an n-sided polygon is (n-2)180 degrees and 1620 degrees is the sum for a 27-sided polygon. y is 15 degrees because one interior hexagon angle is 150 degrees (6y + 30) and another is 135 degrees (9y - 15), which means y must be 15.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 5

    1

    Find the measure of each


    variable.

    ABCDE and HIJKL are regular


    pentagons and AEFGHL is a
    regular hexagon. Find m!ALK.

    a = 90, b = 110
    132

    Find x.

    Find x.

    33
    64

    The sum of the interior


    angles of a polygon is 1620.
    How many sides does
    it have?
    11

    Find x.

    140

    In a regular hexagon, one angle


    is (6y + 30) and another is
    (9y 15). Find y.
    15

    Find the measure of each


    exterior angle of a regular
    dodecagon.
    30

    10

    A convex hexagon has


    exterior angles that measure
    32, 54, 67, 72 and 100.
    What is the 6th exterior
    angle measure?
    35

    Find x.

    13

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