Question

what are the values of x, y, and z in the picture below?

Explanation:

Step1: Find \(x\) using adjacent angles

\(x + 70^\circ=180^\circ\) (adjacent angles on a straight line)
\(x = 180^\circ - 70^\circ=110^\circ\)

Step2: Find \(y\) using vertical angles

\(y = x\) (vertical angles are equal)
\(y = 110^\circ\)

Step3: Find \(z\) using corresponding angles

\(z = 70^\circ\) (corresponding angles for parallel lines)

Answer:

\(x = 110^\circ\), \(y = 110^\circ\), \(z = 70^\circ\)