Question

x = ______ (6x + 3)° (7x - 12)°

Explanation:

Step1: Set the angles equal

Since the two angles are vertical angles and vertical angles are equal, we set up the equation $6x + 3=7x - 12$.

Step2: Isolate x

Subtract $6x$ from both sides: $6x+3 - 6x=7x - 12-6x$. This simplifies to $3=x - 12$.

Step3: Solve for x

Add 12 to both sides: $3 + 12=x-12 + 12$. So $x = 15$.

Answer:

$15$