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 \(d\)

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

Step2: Find the measure of \(f\)

\(f\) and the \(72^{\circ}\) angle are supplementary (they form a linear - pair). Using the formula for supplementary angles \(a + b=180^{\circ}\), where \(a = 72^{\circ}\) and \(b = f\). So \(f=180^{\circ}-72^{\circ}\).

$$f = 108^{\circ}$$

Step3: Find the measure of \(e\)

\(e\) and the \(72^{\circ}\) angle are vertical angles. Vertical angles are equal. So \(e = 72^{\circ}\).

Answer:

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