SOLUTION: the second angle of a triangle is 4 times as large as the first. The third angle is 45 less than two angles than the sun of the other two angles. Find the measure of each angle

Algebra ->  Angles -> SOLUTION: the second angle of a triangle is 4 times as large as the first. The third angle is 45 less than two angles than the sun of the other two angles. Find the measure of each angle      Log On


   

Question 932082: the second angle of a triangle is 4 times as large as the first. The third angle is 45 less than two angles than the sun of the other two angles. Find the measure of each angle
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the angles A,B, and C.
B=4A
C=A%2BB-45
But for a triangle,
A%2BB%2BC=180
Substitute,
A%2B4A%2BA%2B4A-45=180
10A=135
A=135%2F10
Then,
B=4%28135%2F10%29
B=540%2F10
B=54
and,
C=135%2F10%2B54-45
C=135%2F10%2B540%2F10-450%2F10
C=225%2F10