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 \(v\) are vertical angles, so \(v = 118^{\circ}\). Also, the angle of 118° and angle \(t\) are corresponding angles (assuming the lines are parallel), so \(t=118^{\circ}\).

Step2: Calculate supplementary - angle

The angle of 118° and angle \(w\) are supplementary (a straight - line is 180°). So \(w=180 - 118=62^{\circ}\). Angle \(w\) and angle \(u\) are vertical angles, so \(u = 62^{\circ}\). Angle \(w\) and angle \(s\) are corresponding angles, so \(s = 62^{\circ}\). 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. \(w = 62\)