Question

find the measure of the missing angles. answer attempt 1 out of 2 d = ° e = ° f = °

Explanation:

Step1: Identify right - angle

Since $d$ is a right - angle, by definition of a right - angle, $d = 90^{\circ}$.

Step2: Use vertical angles property

Vertical angles are equal. The angle of $72^{\circ}$ and $f$ are vertical angles, so $f=72^{\circ}$.

Step3: Use angle - sum property for a linear pair

The $72^{\circ}$ angle and $e$ form a linear pair. A linear pair of angles sums to $180^{\circ}$. So $e=180 - 72=108^{\circ}$.

Answer:

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