QUESTION IMAGE
Question
solve for x.
x =
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work it out
Step1: Set up the equation
Since the two angles $(3x - 11)^{\circ}$ and $(2x + 16)^{\circ}$ are vertical - angles and vertical angles are equal, we have the equation $3x-11 = 2x + 16$.
Step2: Isolate the variable x
Subtract $2x$ from both sides of the equation: $3x-2x-11=2x - 2x+16$, which simplifies to $x-11 = 16$.
Step3: Solve for x
Add 11 to both sides of the equation: $x-11 + 11=16 + 11$, so $x=27$.
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$27$