Question

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

Explanation:

Step1: Identify vertical - angles

Vertical angles are equal. Angle $e$ and the $134^{\circ}$ angle are vertical angles, so $e = 134^{\circ}$.

Step2: Use linear - pair property

A linear pair of angles sums to $180^{\circ}$. Since $e$ and $f$ form a linear pair, $e + f=180^{\circ}$. Substitute $e = 134^{\circ}$ into the equation: $134^{\circ}+f = 180^{\circ}$, then $f=180^{\circ}-134^{\circ}=46^{\circ}$.

Step3: Determine the value of $d$

The right - angle symbol indicates that $d = 90^{\circ}$.

Answer:

$d = 90^{\circ}$, $e = 134^{\circ}$, $f = 46^{\circ}$