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 $27^{\circ}$ angle are vertical angles, so $d = 27^{\circ}$.

Step2: Use the linear - pair property

The $124^{\circ}$ angle and angle $e$ form a linear pair. A linear pair of angles sums to $180^{\circ}$. So $e=180 - 124=56^{\circ}$.

Step3: Use vertical - angle property again

Angle $f$ and angle $e$ are vertical angles. So $f = e=56^{\circ}$.

Answer:

$d = 27^{\circ}$, $e = 56^{\circ}$, $f = 56^{\circ}$