Answer:
angle = 25, angle 2 = 155
Step-by-step explanation:
Since the two angles create a straight line, they must add up to 180 degrees.
So if you use the numbers they gave you, you can create an equation.
angle 1 + angle 2 = 180
(x - 6) + 5x = 180
Now solve for x
x - 6 + 5x = 180
x + 5x is 6x so you have
6x - 6 = 180
Add 6 to both sides
6x - 6 + 6 = 180 + 6
6x = 186
Divide both sides by 6
6x/6 = 186 / 6
x = 31
Now put the value of x into the equations they gave you for the angles.
angle 1 = x - 6 or 31 - 6 = 25
angle 2 = 5x or 5 x 31 = 155
Add these two numbers together to make sure they add up to 180
25 + 155 = 180
