Question

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

Explanation:

Step1: Find the measure of \(d\)

Since \(d\) is a right angle (as indicated by the small square), \(d = 90^{\circ}\).

Step2: Find the measure of \(e\)

Angles \(e\) and \(127^{\circ}\) are supplementary (they form a linear - pair). So, \(e+127^{\circ}=180^{\circ}\). Then \(e = 180^{\circ}-127^{\circ}=53^{\circ}\).

Step3: Find the measure of \(f\)

Angles \(e\) and \(f\) are vertical angles. Vertical angles are equal. So, \(f = e\). Since \(e = 53^{\circ}\), then \(f = 53^{\circ}\).

Answer:

\(d = 90^{\circ}\), \(e = 53^{\circ}\), \(f = 53^{\circ}\)