SOLUTION: In a certain triangle the measure of one angle is double the measure of a second angle but is 10 degrees less than the measure of the third angle. [The sum of the measures of three

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Question 394615: In a certain triangle the measure of one angle is double the measure of a second angle but is 10 degrees less than the measure of the third angle. [The sum of the measures of three interior angles of a triangle is always 180 degrees.] What is the measure of each angle?
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

one angle is double the measure of a second angle 

and 10 degrees less than the measure of the third angle

Let 2x, x and (2x +10) represent the angles

x + 2x + (2x+10)= 180°

5x + 10 = 180°

   5x = 170°

    x =  34°, the second angle.  the other two are 68°(2x) and 78°(2x+10)



CHECING our Answer

 34° + 68° + 78° = 180°