Question

1. consider the angles in the attached diagram.

write an equation and solve for x.

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. So, \(6x + 20=110\).

Step2: Solve the equation for \(x\)

Subtract 20 from both sides: \(6x=110 - 20\), \(6x = 90\).
Divide both sides by 6: \(x=\frac{90}{6}\).

Answer:

\(x = 15\)