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QUESTION IMAGE

find the value of each variable. (8x + 7)° (9x - 4)° x =

Question

find the value of each variable.
(8x + 7)°
(9x - 4)°
x =

Explanation:

Step1: Set up the equation

Since the two angles are vertical angles, they are equal. So, \(8x + 7=9x - 4\).

Step2: Solve for \(x\)

Subtract \(8x\) from both sides: \(7=x - 4\).
Then add \(4\) to both sides: \(x=7 + 4\).

Answer:

\(x = 11\)