Question

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

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle $d$ and the $131^{\circ}$ angle are vertical angles, so $d = 131^{\circ}$.

Step2: Use linear - pair property

A linear pair of angles sums to $180^{\circ}$. Since $d = 131^{\circ}$ and $d$ and $e$ form a linear pair, then $e=180 - 131=49^{\circ}$.

Step3: Use vertical - angle property again

Angle $f$ and the $27^{\circ}$ angle are vertical angles, so $f = 27^{\circ}$.

Answer:

$d = 131^{\circ}$, $e = 49^{\circ}$, $f = 27^{\circ}$