Question

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

Explanation:

Step1: Identify right - angle

The small square at angle $d$ indicates it is a right - angle. So $d=90^{\circ}$.

Step2: Use vertical angles property

Vertical angles are equal. Angle $e$ and the given $41^{\circ}$ angle are vertical angles. So $e = 41^{\circ}$.

Step3: Use linear - pair property

Angle $f$ and the $41^{\circ}$ angle form a linear pair (a straight - line pair). Since the sum of angles in a linear pair is $180^{\circ}$, then $f=180 - 41=139^{\circ}$.

Answer:

$d = 90^{\circ}$, $e = 41^{\circ}$, $f = 139^{\circ}$