Question

1. solve for x. 114° 15x - 6

Explanation:

Step1: Identify Angle Relationship

The two angles \(114^\circ\) and \(15x - 6\) are corresponding angles (since lines \(r\) and \(s\) are parallel, and the transversal creates equal corresponding angles). So, \(15x - 6 = 114\).

Step2: Solve for \(x\)

Add 6 to both sides: \(15x = 114 + 6 = 120\).
Divide by 15: \(x = \frac{120}{15} = 8\).

Answer:

\(x = 8\)