Question

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

Explanation:

Step1: Identify right - angle

The square symbol 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 $69^{\circ}$ angle are vertical angles, so $e=69^{\circ}$.

Step3: Use linear - pair property

The linear - pair of angles sums to $180^{\circ}$. Since $e = 69^{\circ}$ and $e + f=180^{\circ}$, then $f=180 - 69=111^{\circ}$.

Answer:

$d = 90^{\circ}$
$e = 69^{\circ}$
$f = 111^{\circ}$