Given a regular pentagon,
Two sides of the pentagon are produced to form angle x.
Therefore, x is an interior angle
We know that the Sum of exterior angles of a pentagon = 360°
In a regular pentagon, all angles are equal,
Therefore, each exterior angle of a regular pentagon = 360/5
= 72 degrees
We also know that an exterior angle and its corresponding interior
angle are supplements.
Therefore, each interior angle of a regular pentagon = 180 –
72 = 108 degrees
Therefore, x = 108 degrees
