SOLUTION: The first angle of a triangle is three times the measure of the third angle. The second angle is five less that the third angle. Find the measure of each angle.

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Question 71576: The first angle of a triangle is three times the measure of the third angle. The second angle is five less that the third angle. Find the measure of each angle.
Answer by stanbon(75887) About Me  (Show Source):
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The first angle of a triangle is three times the measure of the third angle. The second angle is five less that the third angle. Find the measure of each angle.
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Let the measure of third angle be "x".
Then measure of first angle is "3x".
And measure of second angle is "x-5"
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EQUATION:
1st + 2nd + 3rd = 180
3x + x-5 + x = 180
5x=185
x=37 degrees (measure of 3rd angle)
x-5=32 degrees (measure of 2nd angle)
3x= 111 degrees (measure of 1s angle)
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Cheers,
Stan H.