SOLUTION: The smallest angle in a triangle is 1/9 as large as the largest angle. The third angle is twice the smallest angle. Find the three angles.

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Question 1115861: The smallest angle in a triangle is 1/9 as large as the largest angle. The third angle is twice the smallest angle. Find the three angles.

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x be the measure of the smallest angle.


Then the largest angle's measure is 9x, according to the condition,

and the third angle is 2x.


Further, the sum of interior angles of each triangle is 180 degrees, which gives you an equation


x + 2x + 9x = 180  ====>  12x = 180  ====>  x = 180%2F12 = 15 degrees.


Answer.  The angles are  15 degrees, 30 degrees and 9*15 = 135 degrees.

Solved.