Question

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

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle $d$ and the $96^{\circ}$ angle are vertical angles, so $d = 96^{\circ}$.

Step2: Use linear - pair property

A linear pair of angles sums to $180^{\circ}$. The $63^{\circ}$ angle and $e$ form a linear pair. So $e=180 - 63=117^{\circ}$.

Step3: Use linear - pair property for $f$

Angle $f$ and $e$ are vertical angles. Since $e = 117^{\circ}$, then $f = 117^{\circ}$.

Answer:

$d = 96^{\circ}$, $e = 117^{\circ}$, $f = 117^{\circ}$