Geometry basics angle relationships

Question

Angle 1 and angle 2 are vertical angles. If m angle 1 (17x+1) and m angle 2 (20x-14). Find m angle 2

Answer 1

Vertical angles are equal. So you can set up an equation:

angle 1 = angle 2

17x+1=20x-14 Solve for x. Subtract 17x from both sides of the equation

17x+1-17x=20x-14-17x Combine like terms

1=3x-14 Add 14 to both sides of the equation

1+14=3x-14+14 Combine like terms

15=3x Divide both sides by 3

15/3=3x/3

5=x

Now plug in x into angle 2 equation

20(5)-14 = 86°