If the difference between the interior and exterior angles of a polygon is 36°, then find the number of sides in the polygon.

Correct option is B

Given:
The difference between the interior and exterior angles of a regular polygon is 36°
Formula Used:
the Sum of interior and exterior angle = 180°
Solution:

Let the interior angle be x°
then, exterior angle will be (x - 36)°
We know that the sum of an interior angle and its corresponding exterior angle is 180 degrees.
So,
x + (x - 36) = 180°
2x - 36 = 180°
2x = 216°
x = 108°

Exterior Angle = (108 - 36)° = 72°

Each Exterior Angle = $$\frac {360\degree}{\text{Number of sides(n)}}$$

72° = $$\frac {360\degree}{\text{Number of sides(n)}}$$​​​​
$$\text{Number of sides(n)} = 5$$​​