Question

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

Answer 1

• 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