Question 513859
x = 1st angle
4x = 2nd angle
(x +4x) – 45 = 5x - 45 = 3rd angle
The sum of the angles in a triangle is 180 degrees
Therefore:
x + 4x + 5x -45 = 180
10x – 45 = 180
10x – 45 + 45 = 180 + 45
10x = 225
10x/10 = 225/10
x = 22.5 degrees …. 1st angle
4x = 4(22.5) = 90 degrees … 2nd angle
5x – 45 = 5(22.5) – 45 = 67.5 degrees … 3rd angle