Question

find the value of x.
image of intersecting lines with angles 3x + 8 and 2x + 24 at point o, and multiple-choice options: 24, 8, 12, 16

Explanation:

Step1: Identify Vertical Angles

Vertical angles are equal, so \(3x + 8 = 2x + 24\).

Step2: Solve for \(x\)

Subtract \(2x\) from both sides: \(3x - 2x + 8 = 24\) → \(x + 8 = 24\).
Subtract 8 from both sides: \(x = 24 - 8\) → \(x = 16\).

Answer:

16