Correct Answer - Option 4 : 360°
Given:
The sides of a polygon with 10 sides
Formula used:
Sum of all interior and exterior angles = n × 180
Sum of interior angles = (n – 2)× 180
where n is the number of sides
Calculation:
Number of sides n = 10
According to the question,
Sum of all interior and exterior angles
⇒ 10 × 180
⇒ 1800
Sum of interior angles
⇒ (10 – 2)× 180
⇒ 1440
Exterior angles = 1800 – 1440
⇒ 360
∴ The sum of exterior angles is 360.
The sum of exterior angles in the regular polygon always 360.
