SOLUTION: find the measure of the three angles of a triangle if the second angle is 8 degrees less than three times the first and the third is one degrees more than seven times the first

Algebra ->  Linear-equations -> SOLUTION: find the measure of the three angles of a triangle if the second angle is 8 degrees less than three times the first and the third is one degrees more than seven times the first      Log On


   

Question 740771:
find the measure of the three angles of a triangle if the second angle is 8 degrees less than three times the first and the third is one degrees more than seven times the first
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
3F-8=S
T=7F+1
F+S+T=180
F+3F-8+7F+1=180
11F=180+8-1
11F=187
F=187/11
F=17 DEGREES FOR THE FIRST ANGLE.
S=3*17-8
S=51-8
S=43 DEGREES FOR THE SECOND ANGLE.
T=7*17+1
T=119+1
T=120 DEGREES FOR THE THIRD ANGLE.
PROOF:
17+43+120=180
180=180