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11 fill in the blank 1 point find the value of x. (6x + 7)° (8x - 17)° …

Question

11 fill in the blank 1 point find the value of x. (6x + 7)° (8x - 17)° x = type your answer...

Explanation:

Step1: Set the angles equal

Since vertical - angles are equal, we set $6x + 7=8x - 17$.

Step2: Move x - terms to one side

Subtract $6x$ from both sides: $7 = 8x-6x - 17$, which simplifies to $7 = 2x-17$.

Step3: Isolate the term with x

Add 17 to both sides: $7 + 17=2x$, so $24 = 2x$.

Step4: Solve for x

Divide both sides by 2: $x=\frac{24}{2}$.

Answer:

$12$