SOLUTION: The second angle of a triangle is 3 times as large as the first. The third angle is 55� more than the first. Find the measure of the smallest angle.

Question 260631: The second angle of a triangle is 3 times as large as the first. The third angle is 55� more than the first. Find the measure of the smallest angle.

Answer by unlockmath(1688) (Show Source): You can put this solution on YOUR website!
Hello,
Let's have "x" represent the first angle. The second angle will be shown as 3x and the third angle will be x+55. We know all triangles have 180 degrees so the equation we can set up will look like this:
x+3x+(x+55)=180 Combine like terms and we'll get:
5x+55=180 Now subtract 55 from both sides to get:
5x=135 Divide both sides by 5 to result in:
x=27 OK this is the smallest angle.
Make sense?
RJ
Check out a new book I wrote at:
www.math-unlock.com
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