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2. find the value of x. (3x + 12)° (5x)° options: 30, 21, 9, 6

Question

  1. find the value of x.

(3x + 12)°
(5x)°
options: 30, 21, 9, 6

Explanation:

Step1: Identify vertical angles

Vertical angles are equal, so \(5x = 3x + 12\).

Step2: Solve for x

Subtract \(3x\) from both sides: \(5x - 3x = 3x + 12 - 3x\) → \(2x = 12\).
Divide both sides by 2: \(\frac{2x}{2} = \frac{12}{2}\) → \(x = 6\).

Answer:

6