Question

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

Explanation:

Step1: Find the measure of \(e\)

Vertical angles are equal. The angle vertical to \(102^{\circ}\) is \(e\), so \(e = 102^{\circ}\).

Step2: Find the measure of \(f\)

The sum of angles around a point is \(360^{\circ}\). We know two angles are \(36^{\circ}\) and \(102^{\circ}\), and \(e = 102^{\circ}\). Let \(f\) be the unknown angle.

$$36^{\circ}+102^{\circ}+102^{\circ}+f = 360^{\circ}$$

$$240^{\circ}+f = 360^{\circ}$$

$$f=360^{\circ}-240^{\circ}$$

$$f = 120^{\circ}$$

Answer:

\(e = 102^{\circ}\), \(f = 120^{\circ}\)