Question

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Explanation:

Step1: Set up equation

Assume the two angles are equal (if they are corresponding or alternate - interior/exterior angles for parallel lines). So, $2x + 12=5x - 15$.

Step2: Isolate x - terms on one side

Subtract $2x$ from both sides: $2x+12 - 2x=5x - 15-2x$, which simplifies to $12 = 3x-15$.

Step3: Isolate the constant on one side

Add 15 to both sides: $12 + 15=3x-15 + 15$, resulting in $27 = 3x$.

Step4: Solve for x

Divide both sides by 3: $\frac{27}{3}=\frac{3x}{3}$, so $x = 9$.

Answer:

$x = 9$