SOLUTION: ∠E and ∠F are vertical angles with m ∠E=9x+12 and m ∠F=3x+24 solve for x

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Question 1096516: ∠E and ∠F are vertical angles with m ∠E=9x+12 and m ∠F=3x+24 solve for x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Vertical angles are congruent, meaning that they are equal in measure

Measure of Angle E = Measure of Angle F
9x+12 = 3x+24
9x+12-12 = 3x+24-12 ... subtract 12 from both sides
9x = 3x+12
9x-3x = 3x+12-3x ... subtract 3x from both sides
6x = 12
6x/6 = 12/6 ... divide both sides by 6
x = 2

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Answer: x = 2