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find the measure of the missing angles. answer d = ° e = ° f = °

Question

find the measure of the missing angles. answer d = ° e = ° f = °

Explanation:

Step1: Identify right - angle for d

Since the angle marked with a square is a right - angle, $d = 90^{\circ}$.

Step2: Use linear - pair for e

The angle of $127^{\circ}$ and $e$ form a linear - pair. A linear - pair of angles sum to $180^{\circ}$. So, $e=180 - 127=53^{\circ}$.

Step3: Use vertical - angles for f

The angle of $127^{\circ}$ and $f$ are vertical angles. Vertical angles are equal. So, $f = 127^{\circ}$.

Answer:

$d = 90^{\circ}$, $e = 53^{\circ}$, $f = 127^{\circ}$