Question

find the measure of the missing angles. answer attempt 2 out of 5 d = ° e = ° f = ° submit answer

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle $d$ and the angle with measure $32^{\circ}$ are vertical angles. So $d = 32^{\circ}$.

Step2: Use linear - pair property for $e$

The angle with measure $69^{\circ}$ and $e$ form a linear pair. A linear pair of angles sums to $180^{\circ}$. So $e=180 - 69=111^{\circ}$.

Step3: Use vertical - angle property for $f$

Angle $f$ and the angle with measure $69^{\circ}$ are vertical angles. So $f = 69^{\circ}$.

Answer:

$d = 32^{\circ}$, $e = 111^{\circ}$, $f = 69^{\circ}$