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    Attachment 698308 so i am revising 9-1 GCSE Edexcel and i am stuck on this question on the Higher tier from the May 2017 exam and i am stuck on this question can someone help please
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    (Original post by liamlarner)
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    Find one interior angle of the square (90 degrees obviously), then interior angle of one of the 12 sided shape (150 degrees). Then subtract that by 360 degrees to get 120 degrees, which is an interior angle of the hexagon.

    Tip: Use (180(n - 2) )divided by n
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    (Original post by liamlarner)
    This is the question
    Show that \angle ABC is the interior angle of a regular hexagon and there you have it.

    Begin by finding the interior angle of the dodecagon and working from there.
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    Exterior angle of a 12 sided shape is 30 degrees since 360/12= 30. If you draw this on the diagram you will see that this angle can go through a square. The angle in a square is 90 so (90-30) = 60 degrees. Angles in a straight line sum 180 so 180-60 = 120. Interior angles of a regular hexagon are 120. Rearrange the formula 120= 180(n-2)/n to prove this. (You’ll get n=6) I hope this helps let me know if you don’t understand any of it
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    (Original post by iow16)
    Exterior angle of a 12 sided shape is 30 degrees since 360/12= 30. If you draw this on the diagram you will see that this angle can go through a square. The angle in a square is 90 so (90-30) = 60 degrees. Angles in a straight line sum 180 so 180-60 = 120. Interior angles of a regular hexagon are 120. Rearrange the formula 120= 180(n-2)/n to prove this. (You’ll get n=6) I hope this helps let me know if you don’t understand any of it
    i dont understand so what do i do/write in my answer to get 4/4 marks
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    (Original post by liamlarner)
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    Find the interior angle of the polygon. Other comments have explained to formula to use to do this.

    Then do 180 - interior angle = exterior angle of polygon.

    Then find the number of sides by doing:
    number of sides = 360 divided by exterior angle.
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    im confused how do you find the interior angle
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    (Original post by liamlarner)
    im confused how do you find the interior angle
    Sum of interior angles = 180 x (n-2) where n is the number of sides

    So one interior angle of regular polygon = (180 x (n-2)) divided by n.

    Find interior angles for square and 12 sided polygon using formula.

    Do 360 - interior angle of square - interior of 12 sided polygon to find interior of your polygon, p. (360 around a point).

    Do 180 - interior angle to find exterior angle.

    Divide 360 by exterior angle to find number of sides.

    If number of sides = 6 the shape is a hexagon, proof complete.
 
 
 
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