Question

find the letters

Explanation:

Step1: Identify angle - pair relationship

The angle of 62° and angle \(x\) are vertical angles.
Vertical angles are equal, so \(x = 62^{\circ}\).

Step2: Use linear - pair property

Angle \(x\) and angle \(y\) form a linear pair. A linear pair of angles sums to 180°.
So \(y=180 - x\). Substituting \(x = 62^{\circ}\), we get \(y = 180-62=118^{\circ}\).

Step3: Identify another vertical - angle relationship

Angle \(y\) and angle \(z\) are vertical angles.
Since vertical angles are equal, \(z = y=118^{\circ}\).

Answer:

\(x = 62^{\circ}\), \(y = 118^{\circ}\), \(z = 118^{\circ}\)