Question

find the measure of the missing angles. attempt 1 out of 2

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Since $e$ and the $96^{\circ}$ angle are vertical angles, $e = 96^{\circ}$.

Step2: Use angle - sum property for a straight - line

The sum of angles on a straight - line is $180^{\circ}$. Consider the straight - line where the $63^{\circ}$ angle and $f$ are adjacent. So $f=180^{\circ}-63^{\circ}-(180^{\circ} - 96^{\circ})$. First, simplify the expression: $f = 180 - 63-(180 - 96)=180 - 63 - 180+96$. Then, $f = 96 - 63=33^{\circ}$.

Answer:

$f = 33$