Question

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

Explanation:

Step1: Identify right - angle

Since there is a right - angle symbol at angle $d$, by the definition of a right - angle, $d = 90^{\circ}$.

Step2: Use linear - pair property for $e$

Angles $e$ and the $144^{\circ}$ angle form a linear pair. A linear pair of angles sums to $180^{\circ}$. So, $e=180 - 144$.
$e = 36^{\circ}$

Step3: Use vertical - angle property for $f$

Angles $e$ and $f$ are vertical angles. Vertical angles are equal. So, $f = e$.
$f = 36^{\circ}$

Answer:

$d = 90^{\circ}$, $e = 36^{\circ}$, $f = 36^{\circ}$