SOLUTION: I'm so stuck on this one.. never have been good at geometry and algebra. I appreciate the help. Find the measures of the three angles of a triangle if the largest is 14 degrees

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: I'm so stuck on this one.. never have been good at geometry and algebra. I appreciate the help. Find the measures of the three angles of a triangle if the largest is 14 degrees      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 53349This question is from textbook Elementary and Intermediate Algebra
: I'm so stuck on this one.. never have been good at geometry and algebra. I appreciate the help.
Find the measures of the three angles of a triangle if the largest is 14 degrees less than three times the smallest, and the other angle is 4 degrees more than the smallest.
This question is from textbook Elementary and Intermediate Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the measures of the three angles of a triangle if the largest is 14 degrees less than three times the smallest, and the other angle is 4 degrees more than the smallest.
---------------
Let the smallest have measure "x".
Then the largest measure is "3x-14"
The 3rd angle has measure "x+4"
EQUATION:
The sum of the angles is 180
x+3x-14+x+4=180
5x-10=180
5x=190
x=38 degrees (measure of smallest)
3x-14=100 degrees (measure of largest)
x+4=42 degrees (3rd angle measure)
Cheers,
Stan H.