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 $102^{\circ}$ angle are vertical angles, so $d = 102^{\circ}$.

Step2: Use linear - pair property

The $36^{\circ}$ angle and angle $e$ form a linear pair. Since the sum of angles in a linear pair is $180^{\circ}$, we have $e=180 - 36=144^{\circ}$.

Step3: Use vertical - angle property again

Angle $f$ and the $36^{\circ}$ angle are vertical angles, so $f = 36^{\circ}$.

Answer:

$d = 102^{\circ}$
$e = 144^{\circ}$
$f = 36^{\circ}$