i need to find the values of X but there isn’t another expression to find x for 180°

In this equation, we need to find x. According to the Vertical Angles Congruence Theorem, all vertical angles are congruent. Therefore, because angles (2x+12) and (8x-18) are vertical angles, they are congruent. We can set this up as an equation and simply solve for x:

2x+12=8x-18 Subtract 2x from both sides.

-2x -2x

12=6x-18 Add 18 to both sides.

+18 +18

30=6x Divide both sides by 6.

/6 /6

5=x

I hope this helps!! Have an amazing day :)

brittwolf52 brittwolf52 · Answer 2 · 2021-10-22T01:19:50+02:00

Answer:

x = 5

Step-by-step explanation:

The two angles have the same degree because of the Vertical Angles rule. This means that if angles are vertical, then they are congruent. Therefore, we can solve for x by setting the two angles equal to each other.

2x + 12 = 8x - 18

+ 18 + 18

2x + 30 = 8x

-2x -2x

30 = 6x

÷6 ÷6

5 = x

We can then double check this by inputing x back into the equations

2x + 12 = 2(5) + 12 = 10 + 12= 22

8x - 18 = 8(5) - 18 = 40 - 18 = 22

These check out so x = 5

I hope this helped :)