Question

e.
6x - 24
2x + 12
x = ____

Explanation:

Step1: Assume the angles are supplementary

If two angles form a linear - pair, their sum is 180 degrees. So, we set up the equation $(6x - 24)+(2x + 12)=180$.

Step2: Combine like - terms

Combine the $x$ terms and the constant terms: $6x+2x-24 + 12=180$, which simplifies to $8x-12 = 180$.

Step3: Add 12 to both sides

$8x-12 + 12=180 + 12$, resulting in $8x=192$.

Step4: Divide both sides by 8

$\frac{8x}{8}=\frac{192}{8}$, so $x = 24$.

Answer:

$24$