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∠E and ∠F are vertical angles with m∠E=9x+12 and m∠F=3x+24. What is the value of x?

∠E and ∠F are vertical angles with m∠E=9x+12 and m∠F=3x+24. What is the value of x?
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∠E and ∠F are vertical angles with m∠E=9x+12 and m∠F=3x+24. What is the value of x?

asked
User Peter Nunn
by
8.1k points

1 Answer

4 votes

Answer:

  • x = 2

Explanation:

Vertical angles are equal as per definition.

  • ∠E and ∠F are vertical angles
  • m∠E = 9x+12 and m∠F = 3x+24
  • x = ?

Solution

  • 9x+12 = 3x+24
  • 9x - 3x = 24 - 12
  • 6x = 12
  • x = 2

answered
User Sai Tej
by
8.8k points
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