Question

(g) 8x - 36 2x+30

Explanation:

Step1: Assume angles are equal (corresponding or alternate - assume parallel lines).

Set $8x - 36=2x + 30$.

Step2: Isolate variable terms.

Subtract $2x$ from both sides: $8x-2x - 36=2x-2x + 30$, which simplifies to $6x-36 = 30$.

Step3: Isolate the variable.

Add 36 to both sides: $6x-36 + 36=30 + 36$, getting $6x=66$.

Step4: Solve for x.

Divide both sides by 6: $x=\frac{66}{6}=11$.

Answer:

$x = 11$