Answer:
x = 144°
Explanation:
In the figure given , two regular polygons are given to us. Since the polygon has five sides , it is a regular Pentagon. We know that each angle of a regular Pentagon is 108° .
So , here as per figure two regular Pentagons are attached base to base . Now , we know that,
- Measure of complete angle is 360° .
- Measure of regular polygon's angle is 108°.
According to Question ,
⇒ 108° + 108° + x = 360°
⇒ 216° + x = 360°
⇒ x = 360° - 216°
⇒ x = 144°
Hence the value of x is 144°