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

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) (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
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