Question

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

Explanation:

Step1: Find angle e

Vertical - angles are equal. The angle vertical to the $114^{\circ}$ angle is $e$. So $e = 114^{\circ}$.

Step2: Find angle f

The sum of angles on a straight - line is $180^{\circ}$. Since $e = 114^{\circ}$, then $f=180 - 114=66^{\circ}$.

Step3: Find angle d

The sum of the $22^{\circ}$ angle, $d$, and $f$ is $180^{\circ}$ (angles on a straight - line). So $d = 180-(22 + 66)=92^{\circ}$.

Answer:

$d = 92^{\circ}$, $e = 114^{\circ}$, $f = 66^{\circ}$