SOLUTION: The second angle of a triangular garden is four times as large as the first. The third angle is 45 degrees less than the sum of the other two angles. Find the measure of each a

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The second angle of a triangular garden is four times as large as the first. The third angle is 45 degrees less than the sum of the other two angles. Find the measure of each a      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 710252:
The second angle of a triangular garden is four times as large as the first. The third angle is 45 degrees less than the sum of the other two angles. Find the measure of each angle.
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
SECOND ANGLE=4 TIMES THE FIRST.
S=4F
THE THIRD ANGLE=F+S-45
F+S+T=180
F+(4F)+(F+[4F]-45)=180
10F-45=180
10F=180+45
10F=225
F=225/10
F=22.5 DEGREES.
S=4*22.5=90 DEGREES.
22.5+90+T=180
T=180-22.5-90
T=67.5 DEGREES.
PROOF:
22.5+90+67.5=180
180=180