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find the measure of the missing angles. answer attempt 1 out of 2 d = °…

Question

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

Explanation:

Step1: Identify angle d

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

Step2: Identify angle e

Angles $e$ and the $100^{\circ}$ angle are vertical angles. Vertical angles are equal. So $e=100^{\circ}$.

Step3: Identify angle f

Angles $e$ and $f$ are supplementary (a linear - pair). The sum of angles in a linear - pair is $180^{\circ}$. So $f = 180 - e$. Substituting $e = 100^{\circ}$, we get $f=80^{\circ}$.

Answer:

$d = 90^{\circ}$, $e = 100^{\circ}$, $f = 80^{\circ}$