SOLUTION: the measure of an angle is 28 more than the measure of the smallest angle of the triangle. the measure of the third angle is twice the size of the measure of the the smallest angle

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: the measure of an angle is 28 more than the measure of the smallest angle of the triangle. the measure of the third angle is twice the size of the measure of the the smallest angle      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 585175: the measure of an angle is 28 more than the measure of the smallest angle of the triangle. the measure of the third angle is twice the size of the measure of the the smallest angle. find all three measures
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the measure of an angle is 28 more than the measure of the smallest angle of the triangle. the measure of the third angle is twice the size of the measure of the the smallest angle. find all three measures
--------------------------------------------
Let the smallest angle be "x".
2nd angle is "x+28"
3rd angle is 2x
-----
Equation:
x + x+28 + 2x = 180
4x = 152
x = 38 degrees
x+28 = 66 degrees
2x = 76 degrees
======================
Cheers,
Stan H.
==============