Question

1. given the following information, which of the following are correct? select all that apply. a. r = 118 b. s = 62 c. t = 118 d. u = 62 e. v = 118 f. w = 62

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. The angle of 118° and angle \(t\) are vertical angles. So \(t = 118^{\circ}\).

Step2: Identify linear - pair relationship

A linear - pair of angles sums to 180°. The angle of 118° and angle \(s\) form a linear pair. So \(s=180 - 118=62^{\circ}\). Also, angle \(u\) and the 118° angle form a linear pair, so \(u = 62^{\circ}\), and angle \(w\) and angle \(t\) form a linear pair, so \(w = 62^{\circ}\), angle \(v\) and the 118° angle are vertical angles, so \(v = 118^{\circ}\), angle \(r\) and angle \(t\) are vertical angles, so \(r = 118^{\circ}\).

Answer:

a. \(r = 118\)
b. \(s = 62\)
c. \(t = 118\)
d. \(u = 62\)
e. \(v = 118\)
f. \(w = 62\)