Question

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

Answer 1

The vertical angles are congruent (have the same measures).

Therefore you have the equation:

∠E = ∠F → 9x + 12 = 3x + 24      |-12

9x = 3x + 12        |-3x

6x = 12      |:6

x = 2

Answer 2

Answer:

$x=2$

Step-by-step explanation:

We have been given that ∠E and ∠F are vertical angles with $m\angle E=9x+12$ and $m\angle F=3x+24$.

We know that vertical angles are equal in measure. To solve for x, we will equate measure of angle E to measure of angle F as:

$9x+12=3x+24$

$9x-3x+12=3x-3x+24$

$6x+12=24$

$6x+12-12=24-12$

$6x=12$

$\frac{6x}{6}=\frac{12}{6}$

$x=2$

Therefore, the value of x is 2.