Question

1. consider the angles in the attached diagram. write an equation and solve for x. x = 15

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:

\(x = 15\)