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8. find the value of x: (3x + 42)° (4x + 45)° a. 3 b. -3 c. 3/7 d. 1

Question

  1. find the value of x: (3x + 42)° (4x + 45)° a. 3 b. -3 c. 3/7 d. 1

Explanation:

Step1: Set up the equation

Vertical angles are equal. So, \(3x + 42=4x + 45\).

Step2: Solve for \(x\)

Subtract \(3x\) from both sides: \(42=x + 45\).
Then subtract \(45\) from both sides: \(x=42 - 45=-3\).

Answer:

B. \(-3\)