SOLUTION: In a triangle, angle A is 20 degrees more than twice times as angle B and 45 degrees less than angle C. Find the measure of each angle. Please Help!!!!

Algebra ->  Linear-equations -> SOLUTION: In a triangle, angle A is 20 degrees more than twice times as angle B and 45 degrees less than angle C. Find the measure of each angle. Please Help!!!!      Log On


   

Question 1052612: In a triangle, angle A is 20 degrees more than twice times as angle B and 45 degrees less than angle C. Find the measure of each angle. Please Help!!!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the angles in any triangle is 180.
A%2BB%2BC=180
So you also know,
A=20%2B2B
and
A=C-45
So then,
A-20=2B
B=%28A-20%29%2F2
and
C=A%2B45
Substitute into the top equation,
A%2B%28A-20%29%2F2%2BA%2B45=180
Multiply both sides by 2,
2A%2BA-20%2B2A%2B90=360
5A%2B70=360
5A=290
A=58
So then,
C=58%2B45
C=103
and
B=%2858-20%29%2F2
B=38%2F2
B=19