Question

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

Explanation:

Step1: Identify right - angle

Since the symbol at angle $d$ is a right - angle symbol, a right - angle measures $90^{\circ}$. So $d = 90^{\circ}$.

Step2: Use vertical angles property

Vertical angles are equal. Angle $f$ and the $51^{\circ}$ angle are vertical angles. So $f=51^{\circ}$.

Step3: Use linear - pair property

The sum of angles in a linear pair is $180^{\circ}$. Angle $e$ and the $51^{\circ}$ angle form a linear pair. So $e = 180^{\circ}-51^{\circ}=129^{\circ}$.

Answer:

$d = 90^{\circ}$, $e = 129^{\circ}$, $f = 51^{\circ}$