Question

1. find the measures of angles c and b

1. what type of angles are in the diagram, select all that apply:

a. adjacent
b. complementary
c. supplementary
d. vertical
find their measures by creating and solving the equation:

Explanation:

Step1: Find angle \(c\)

Vertical angles are equal. Since \(c\) and \(118^{\circ}\) are vertical angles, \(c = 118^{\circ}\)

Step2: Find angle \(b\)

\(b\) and \(118^{\circ}\) are supplementary angles (they form a linear pair). So \(b+118^{\circ}=180^{\circ}\), then \(b = 180^{\circ}-118^{\circ}=62^{\circ}\)

for Question 5:

• Adjacent: Angles \(c\) and \(b\) share a common side and vertex.
• Supplementary: \(b\) and \(118^{\circ}\) (or \(c\) and \(b\) in the linear - pair sense) sum to \(180^{\circ}\)
• Vertical: \(c\) and \(118^{\circ}\) are vertical angles.

Answer:

\(c = 118^{\circ}\), \(b = 62^{\circ}\)