Question

assignments > angle and segment relationships
segment relationships
points 100 submitting an external tool available at sep 4 at 7am
math
answer attempt 1 out of 2
d = ​° e = 73 ​° f = ​°

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. Since the angle marked as \(73^{\circ}\) and angle \(e\) are vertical angles, \(e = 73^{\circ}\).

Step2: Identify right - angle relationship

The angle marked with a square is a right - angle, so \(d=90^{\circ}\).

Step3: Identify supplementary - angle relationship

Angle \(e\) and angle \(f\) are supplementary (they form a straight - line). The sum of supplementary angles is \(180^{\circ}\). So \(f=180 - e\).
Substitute \(e = 73^{\circ}\) into the formula: \(f=180 - 73=107^{\circ}\).

Answer:

\(d = 90^{\circ}\), \(f = 107^{\circ}\)