Question

find the measure of the missing angles.
answer attempt 1 out of 2
$d = square ^ { circ }$
$e = square ^ { circ }$
$f = square ^ { circ }$

Explanation:

Step1: Find the measure of \(d\)

Vertical angles are equal. Since \(d\) and \(63^{\circ}\) are vertical angles, \(d = 63^{\circ}\)

Step2: Find the measure of \(e\)

The sum of angles around a point is \(360^{\circ}\). But we can also use the fact that \(e\) and \(96^{\circ}\) are vertical angles. So \(e=96^{\circ}\)

Step3: Find the measure of \(f\)

We know that \(63^{\circ}+f + 96^{\circ}=180^{\circ}\) (linear - pair or straight - line angle sum). Then \(f=180^{\circ}-(63^{\circ}+96^{\circ})\). First, calculate \(63 + 96=159\). Then \(f = 180 - 159=21^{\circ}\)

Answer:

\(d = 63^{\circ}\), \(e = 96^{\circ}\), \(f = 21^{\circ}\)