Question

find the measure of the missing angles. answer attempt 1 out of 3 $d = square^{circ}$ $e = square^{circ}$ $f = square^{circ}$

Explanation:

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

By the definition of a right angle, \(d = 90^{\circ}\)

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

Since \(e\) and \(40^{\circ}\) are vertical angles, \(e=40^{\circ}\)

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

Because \(e + f=180^{\circ}\) (linear - pair of angles), and \(e = 40^{\circ}\), then \(f=180^{\circ}-40^{\circ}=140^{\circ}\)

Answer:

\(d = 90^{\circ}\), \(e = 40^{\circ}\), \(f = 140^{\circ}\)