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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 right - angle

The symbol for a right - angle is shown at angle $d$. So, $d = 90^{\circ}$.

Step2: Use vertical - angles property

Vertical angles are equal. Angle $e$ and the $47^{\circ}$ angle are vertical angles. So, $e=47^{\circ}$.

Step3: Use complementary - angles property

Angles $e$ and $f$ are complementary (they form a right - angle together). Since the sum of complementary angles is $90^{\circ}$, and $e = 47^{\circ}$, then $f=90^{\circ}-47^{\circ}=43^{\circ}$.

Answer:

$d = 90$
$e = 47$
$f = 43$