Question

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

Explanation:

Step1: Identify angle $d$

Since the small square at the intersection of two lines indicates a right - angle, $d = 90^{\circ}$.

Step2: Identify angle $e$

Angles $e$ and the $51^{\circ}$ angle are vertical angles. Vertical angles are equal. So $e=51^{\circ}$.

Step3: Identify angle $f$

Angles $f$ and the $51^{\circ}$ angle are complementary (because the vertical line and the horizontal line are perpendicular and the sum of angles around the intersection of the slanted line and the vertical line is $90^{\circ}$). So $f = 90^{\circ}-51^{\circ}=39^{\circ}$.

Answer:

$d = 90^{\circ}$, $e = 51^{\circ}$, $f = 39^{\circ}$