Answer:
The first angle is 27
angle 2 = 135
angle 3 = 18
Step-by-step explanation:
Let x = be the first angle
angle 2 = 5x
angle 3 = 2/3x
The sum of all the angles of a triangle is 180
x+5x+2/3x = 180
Combine like terms
6 2/3x = 180
Change to an improper fraction
20/3 x = 180
Multiply by 3/20 on each side to clear the fraction
3/20 * 20/3x = 180*3/20
x = 27
The first angle is 27
angle 2 = 5*27 = 135
angle 3 = 27*2/3 = 18
