SOLUTION: Angles of a pentagon in the ratio 2:3:5:8:12. Find the smallest and the largest anglese

Question 1003321: Angles of a pentagon in the ratio 2:3:5:8:12. Find the smallest and the largest anglese
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
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Angles of a pentagon in the ratio 2:3:5:8:12. Find the smallest and the largest .
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This phrase "Angles of a pentagon in the ratio 2:3:5:8:12." means that there is an angle , which is a "common measure" of the five angles in a way that

    the 1-st angle is equal to ,
    the 2-nd angle is equal to ,
    the 3-rd angle is equal to ,
    the 4-th angle is equal to , and
    the 5-th angle is equal to .

Then the sum of these angles is = .

From the other side, the sum of interior angles of a pentagon is (5-2)*180� = 3*180� = 540�.

Hence, = = 18�.

Now you can easily determine all 5 angles and determine the smallest and the largest. Do it yourself, please.

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