SOLUTION: The third angle of a triangle measures twice the sum of the first and second angles. The first angle measures 23°. Find the measure of the second and third angles.

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Question 468093: The third angle of a triangle measures twice the sum of the first and
second angles. The first angle measures 23°. Find the measure of the
second and third angles.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let 23, x and 2(x+23)represent the 1st, 2nd and 3rd angle respectively

Question states***

23° + x + 2(x+23°)= 180°

Solving for x

    3x = 111°

     x = 37°, the 2nd angle.  Third is 120°.  (2*60°)

CHECKING our Answer***

   23° + 37° + 120° = 180°