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∠E and ∠F are vertical angles with m∠E=9x+12m∠E=9x+12 and m∠F=3x+24m∠F=3x+24 .
What is the value of x?
the four have to add to 360 or E+F = 180
9x+12 +3x+24 = 180
12 x + 36 = 180
12 x = 144
To find the value of x, we can set the two expressions equal to each other since ∠E and ∠F are vertical angles.
9x + 12 = 3x + 24
Simplifying the equation, we combine like terms:
9x - 3x = 24 - 12
6x = 12
To isolate x, we divide both sides of the equation by 6:
6x/6 = 12/6
x = 2
Therefore, the value of x is 2.