Question

find the measure of the missing angles.
answer
attempt 1 out of 3
d=° e=° f=°

Explanation:

Step1: Find \(d\)

Vertical angles are equal. So \(d = 31^{\circ}\)

Step2: Find \(e\)

Angles around a point sum to \(180^{\circ}\). \(77^{\circ}+e + 31^{\circ}=180^{\circ}\). Then \(e=180^{\circ}-77^{\circ}-31^{\circ}=72^{\circ}\)

Step3: Find \(f\)

\(f\) and \(77^{\circ}\) are vertical angles. So \(f = 77^{\circ}\)

Answer:

\(d = 31^{\circ}\), \(e = 72^{\circ}\), \(f = 77^{\circ}\)