SOLUTION: The second angle of a triangle is 4 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.

Algebra ->  Points-lines-and-rays -> SOLUTION: The second angle of a triangle is 4 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.      Log On


   



Question 466347: The second angle of a triangle is 4 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 Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1st = x
2nd = 4x
3rd = x + 4x - 45
-------------------
1st + 2nd + 3rd = 180
x + 4x + 5x - 45 = 180
10x = 135
x = 22.5 degs
1st = 22.5º
2nd = 90º
3rd = 67.5º