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question find the measure of the missing angles. answer attempt 1 out o…

Question

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

Explanation:

Step1: Identify angle $d$

The square - shaped symbol indicates a right - angle. So $d = 90^{\circ}$.

Step2: Identify angle $e$

Vertical angles are equal. Since the angle opposite to $e$ is $144^{\circ}$, then $e=144^{\circ}$.

Step3: Identify angle $f$

The sum of angles $e$ and $f$ is $180^{\circ}$ (linear - pair of angles). So $f=180 - e$. Substituting $e = 144^{\circ}$, we get $f=180 - 144=36^{\circ}$.

Answer:

$d = 90$, $e = 144$, $f = 36$