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∠E and ​ ∠F are vertical angles with m∠E=5x+10 and m∠F=7x−12 . What is the value for x? Enter your answer in the box.

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choixongdong

Vertical angles are equal

∠E  = ​ ∠F

5x+10 = 7x−12

-2x = -22

   x = 11

Answer

x = 11

Answer:

The value of x = 11

Step-by-step explanation:

∠E and ​ ∠F are vertical angles

Vertical angles are equal

∠E = ∠F

Substitute the angles and solve for x

∠E = ∠F

[tex]5x+10= 7x−12[/tex]

Subtract 7x from both sides

[tex]-2x+10=−12[/tex]

Subtract 10 from both sides

[tex]-2x=−12-10[/tex]

[tex]-2x=-22[/tex]

Divide both sides by -2

[tex]x=11[/tex]

The value of x =11

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