SOLUTION: One angle in a triangle is four times as great as a second angle. The third angle measures 5 degrees more than twice the second angle. Find the measures of the angles.

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Question 342798: One angle in a triangle is four times as great as a second angle. The third angle measures 5 degrees more than twice the second angle. Find the measures of the angles.

Found 2 solutions by Kartik-The Math specialist, unlockmath:
Answer by Kartik-The Math specialist(4) About Me  (Show Source):
You can put this solution on YOUR website!
Let the 2nd angle be x.
1st angle = 4x
3rd angle = 2x+5
ATQ
{2x+5}+x+4x=180
7x=175
x=25
Angles=4x,2x+5,x
=100,55,25.
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Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
We can let x represent the second angle. Also we know every triangle has 180 degrees so the equation will look like:
x + 4x + (2x+5) = 180
Combine like terms and subtract 5 from both sides to get:
7x=175
Now divide both sides by 7 to result in:
x=25 degrees for the second angle
Other two angles are: 100 and 55 degrees.
Make sense?
RJ
www.math-unlock.comn