Example Solving Word Problems > algebra applications > geometry > side of triangles

See Other Triangle Word Problem Examples solved by the Algebra Word Problem Solver: area, perimeter, sides of triangle

What You Enter

The sum of three angles of a triangle is 180 degrees. One angle of a triangle is 4 times the second angle. The third angle of the triangle is 30 degrees more than the second angle. Find the measures of all the angles.

What You Get

Let S=SECOND
Let T=THIRD

Given F+S+T=180
Given F=4S
Given T=S+30

F+S+(S+30)=180   Comment: Substitute S+30 for F in F+S+T=180
4S+S+(S+30)=180   Comment: Substitute 4S for T in F+S+(S+30)=180
Step S=25  Comment Simplify

Solution S=25  //
F=100
Solution F=100  Substitute S=25 into F=4S
Solution T=55  Substitute S=25 into T=S+30
End

Solution: First=100, Second=25, Third=55