Question

find the measure of the missing angles. answer attempt 1 out of 2 d = ° e = ° f = ° 49° e 29° d f

Explanation:

Step1: Use vertical - angle property for $d$

Vertical angles are equal. Since the angle opposite to $d$ is $29^{\circ}$, $d = 29^{\circ}$.

Step2: Calculate $e$

The right - angle is $90^{\circ}$. Given one part of the right - angle is $49^{\circ}$, then $e=90^{\circ}-49^{\circ}=41^{\circ}$.

Step3: Calculate $f$

The sum of angles around a point is $360^{\circ}$. We know two of the angles near $f$ are $49^{\circ}$ and $29^{\circ}$, and the vertical - angle of $d$ is also $29^{\circ}$. So $f = 360^{\circ}-(90^{\circ}+49^{\circ}+29^{\circ}+29^{\circ})=112^{\circ}$.

Answer:

$d = 29^{\circ}$, $e = 41^{\circ}$, $f = 112^{\circ}$