Question

50 POINTS!!

Please show all of your work! Thanks.

Answer 1

Vertical Angles have equal measure, so set the expressions equal to each other, creating an equation, and solve for x:

mE = mF
9x + 12 = 3x + 24
- 3x - 3x
------------------------------
6x + 12 = 24
- 12 - 12
-------------------------
6x = 12
--- ----
6 6

x = 2

Check this to be sure: mE = 9(2) + 12 = 30 ; mF = 3(2) + 24 = 30 YEP

Answer 2

vertical angles equal each other so you have

angle E = angle F

9x+12 = 3x +24

subtract 12 from each side

9x = 3x +12

subtract 3x from each other

6x =12

divide both sides by 6

x = 12/6 = 2

x = 2