SOLUTION: The measures of the three angles of a triangle are given by 3x + 1, 2x - 3, and 9x. What is the measure of the smallest angle?

Click here to see ALL problems on Angles

Question 1114418: The measures of the three angles of a
triangle are given by 3x + 1, 2x - 3, and 9x.
What is the measure of the smallest angle?
Found 3 solutions by Alan3354, Fombitz, ikleyn:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website!
The measures of the three angles of a
triangle are given by 3x + 1, 2x - 3, and 9x.
What is the measure of the smallest angle?
-----------
Add the 3 angles.
The sum is 180 degs
Solve for x
etc

Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website!
The angles of a triangle sum to 180.

Solve for , then solve for the smallest angle .

Answer by ikleyn(52897)   (Show Source):
You can put this solution on YOUR website!
.

The sum of interior angles of a triangle is 180 degrees. It gives you an equation (3x+1) + (2x-3) + 9x = 180 3x + 1 + 2x - 3 + 9x = 180 14x -2 = 180 14x = 180 + 2 = 182 x = = 13. The angles are 3x+1 = 3*13+1 = 40 degrees, 2x-3 = 2*13-3 = 23 degrees and 9x = 9*13 = 117 degrees. The smallest angle is 23 degrees.