Question

find the measure of the missing angles. answer attempt 2 out of 2 d = e = f =

Explanation:

Step1: Identify right - angle property

Since the symbol at angle \(d\) indicates a right - angle, \(d = 90^{\circ}\).

Step2: Use vertical - angle property

Vertical angles are equal. Angle \(f\) and the given \(72^{\circ}\) angle are vertical angles, so \(f=72^{\circ}\).

Step3: Use linear - pair property

The sum of angles in a linear pair is \(180^{\circ}\). Angle \(e\) and the \(72^{\circ}\) angle form a linear pair. So \(e = 180^{\circ}-72^{\circ}=108^{\circ}\).

Answer:

\(d = 90^{\circ}\), \(e = 108^{\circ}\), \(f = 72^{\circ}\)