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Math Help - Model of Shell Growth

  1. #1
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    Model of Shell Growth

    Hi Everyone,

    Just wondering if someone can help me solve this geometry problem. Should the total of all the angles = 360o?

    Question: A model of how a shell grows can be made using enlarged copies of the same triangle.

    Here is a picture of a model.



    What is the value of x in degrees?

    (a) 53o (b) 138o (c) 143o (d)153o (e) 222o

    Thank you.
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  2. #2
    Junior Member BERMES39's Avatar
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    Re: Model of Shell Growth

    The six triangles are similar, therefore their respective angles are congruent. The six angles with common vertex are congruent = 37 deg. (180-90-53 = 37)
    x = 360 - 37*6 = 138
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  3. #3
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    Re: Model of Shell Growth

    Quote Originally Posted by BERMES39 View Post
    The six triangles are similar, therefore their respective angles are congruent. The six angles with common vertex are congruent = 37 deg. (180-90-53 = 37)
    x = 360 - 37*6 = 138
    Thanks for your help. It is much appreciated. I see how you have solved this. Your solution has been very helpful. Once agin, thanks for your help.
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