Question 251906
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I have no idea why I should help someone who is too lazy to spell out the word 'please,' but here goes anyway.


If the ratio of the three angles is 1:3:5, then the smallest angle is 1 part, the next larger angle is 3 parts, and the largest angle is 5 parts for a total of 1 plus 3 plus 5 equals 9 parts.  The sum of the angles of a triangle is always 180 degrees.  Dividing 180 by 9 means that 1 part is 20 degrees.  Since the smallest angle is 1 part, the smallest angle must be 20 degrees.


To check the answer, consider that the middle-sized angle is 3 parts, or 3 times 20 = 60 degrees, and the largest angle is 5 parts or 5 times 20 = 100 degrees, and then 20 + 60 + 100 = 180 -- so the answer checks.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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