Question

∠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.

Answer 1

Vertical angles are equal

∠E = ​ ∠F

5x+10 = 7x−12

-2x = -22

x = 11

Answer

x = 11

Answer 2

The value of x = 11

Explanation:

∠E and ​ ∠F are vertical angles

Vertical angles are equal

∠E = ∠F

Substitute the angles and solve for x

∠E = ∠F

`5x+10= 7x−12`

Subtract 7x from both sides

`-2x+10=−12`

Subtract 10 from both sides

`-2x=−12-10`

`-2x=-22`

Divide both sides by -2

`x=11`

The value of x =11