Question

1. solve for x. (10x + 1)° and (12x - 5)° with intersecting lines (diagram of two intersecting lines forming vertical angles).

Explanation:

Step1: Identify vertical angles

Vertical angles are equal, so \(10x + 1 = 12x - 5\).

Step2: Solve for x

Subtract \(10x\) from both sides: \(1 = 2x - 5\).
Add 5 to both sides: \(6 = 2x\).
Divide by 2: \(x = 3\).

Answer:

\(x = 3\)