SOLUTION: The second angle of a building lot is three times as large as the first,The third angle is 10 degrees more than the sum of the other two angles.What is the third angle?

Algebra ->  Triangles -> SOLUTION: The second angle of a building lot is three times as large as the first,The third angle is 10 degrees more than the sum of the other two angles.What is the third angle?       Log On


   

Question 729669:
The second angle of a building lot is three times as large as the first,The third angle is 10 degrees more than the sum of the other two angles.What is the third angle?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
SECOND ANGLE=3F
THIRD ANGLE=F+S+10
F+S+T=180
F+3F+(F+S+10)=180
4F+F+(3F)+10=180
8F=180-10
8F=170
F=170/8
F=21.25 DEGREES FOR THE FIRST ANGLE.
3*21.25=63.75 DEGREES FOR THE SECOND ANGLE.
21.25+63.75+10=95 DEGREES FOR THE THIRD ANGLE.
21.25+63.75+95=180
180=180