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Math Help - Confusing questions - angles in polygons

  1. #1
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    Question Confusing questions - angles in polygons

    I need some help on this maths question, it would be much appreciated -

    Q. Five of the angles of a hexagon are eqaul to eachother and each is greater than the remaining angle by 72 degrees, find the size of the smallest angle.

    Also this question-

    Q.Th angles of a qaudrilateral taken in order are 2x , 3x 7x and 8x find the value of x and prove that two of the opposite angles are parallel

    Cheers.
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Confusing questions - angles in polygons

    For both questions, it will be helpful for you to know the sum S of the interior angles of a polygon having n sides:

    S=(n-2)\cdot180^{\circ}
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  3. #3
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    Re: Confusing questions - angles in polygons

    Quote Originally Posted by pinksquid112 View Post
    Q. Five of the angles of a hexagon are eqaul to eachother and each is greater than the remaining angle by 72 degrees, find the size of the smallest angle.
    Suppose that x is the measure of the larger angles and y is the measure of the smalar angle.
    Then 5x+y=720~\&~x=y+72

    Quote Originally Posted by pinksquid112 View Post
    Q.Th angles of a qaudrilateral taken in order are 2x , 3x 7x and 8x find the value of x and prove that two of the opposite angles are parallel.
    Angles are not parallel.
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  4. #4
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    Re: Confusing questions - angles in polygons

    What is the greatest number of polygons you can form? What kind of polygon is formed?








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