two sides of a regular pentagon are produced to form angle x. what is x?

Question

it's yet another a polygon sum what is X????

Answer 1

Sum of exterior angles = 360°.

 

One exterior angle of regular pentagon = 360°/5 = 72°.

 

An exterior angle and its corresponding interior angle are supplements.

 

One interior angle = 180° - 72° = 108°.

Answer 2

The sum of interior angles of a regular polygon with n sides is (n-2)*180.  The sum of the interior angles of a pentagon is  3 x 180 degrees, or 540 degrees.  

 

There are 5 interior angles in a pentagon, so 540/5 = 108 degrees in each angle.