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)   (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°
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