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QUESTION IMAGE

solve for x. x =

Question

solve for x. x =

Explanation:

Step1: Set up equation

Since the two angles are vertical angles and vertical angles are equal, we set up the equation $3x - 11=2x + 16$.

Step2: Isolate x - terms

Subtract $2x$ from both sides: $3x-2x - 11=2x-2x + 16$, which simplifies to $x - 11=16$.

Step3: Solve for x

Add 11 to both sides: $x-11 + 11=16+11$, so $x = 27$.

Answer:

$27$