Question

find the measure of the missing angles.

Explanation:

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

Since \(e\) and \(71^{\circ}\) are supplementary angles (they form a linear - pair), we use the formula \(e + 71^{\circ}=180^{\circ}\).

$$e=180^{\circ}-71^{\circ}$$

$$e = 109^{\circ}$$

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

\(f\) and \(71^{\circ}\) are vertical angles. Vertical angles are equal. So \(f = 71^{\circ}\).

Step3: Find the measure of angle \(d\)

\(d\) is a right - angle as indicated by the square symbol. So \(d = 90^{\circ}\).

Answer:

\(d = 90^{\circ}\), \(e=109^{\circ}\), \(f = 71^{\circ}\)