Question

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

Explanation:

Step1: Identify right - angle property

Since the angle marked with a square is a right - angle, $d = 90^{\circ}$.

Step2: Use vertical - angle property

Vertical angles are equal. Angle $f$ and the $71^{\circ}$ angle are vertical angles, so $f=71^{\circ}$.

Step3: Use linear - pair property

The sum of angles in a linear pair is $180^{\circ}$. Angle $e$ and the $71^{\circ}$ angle form a linear pair. So $e = 180^{\circ}-71^{\circ}=109^{\circ}$.

Answer:

$d = 90^{\circ}$, $e = 109^{\circ}$, $f = 71^{\circ}$