SOLUTION: The sum of the measures of the angles of a triangle is 180 degrees. The second angle is twice the measure of the first angle. The third angle is 3 times the measure of the second a

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Question 616871: The sum of the measures of the angles of a triangle is 180 degrees. The second angle is twice the measure of the first angle. The third angle is 3 times the measure of the second angle. Find the measures of each angle.
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi, 

The second angle is twice the measure of the first angle. 

The third angle is 3 times the measure of the second angle.

Let x , 2x and 6x represent the measure of the 1st, 2nd and 3rd angle respectively

Question states***sum of the measures of the angles of a triangle is 180 degrees

 x + 2x + 6x = 180°

        9x = 180°

         x = 20°

 Measures of the angles are: 20°, 40° , 120°