Question

find the measure of the missing angles.
answer attempt 1 out of 2
b = \\( \square ^ { \circ } \\) c = \\( \square ^ { \circ } \\)

Explanation:

Step1: Find the measure of angle \(b\)

Vertical angles are equal. The angle of \(64^{\circ}\) and angle \(b\) are vertical angles. So \(b = 64^{\circ}\)

Step2: Find the measure of angle \(c\)

Angles on a straight - line sum to \(180^{\circ}\). Since \(b + c=180^{\circ}\) and \(b = 64^{\circ}\), then \(c=180^{\circ}-64^{\circ}\)

$$c = 116^{\circ}$$

Answer:

\(b = 64^{\circ}\), \(c = 116^{\circ}\)