If each interior angle of a regular polygon is $$135^∘$$​, then the number of sides that polygon has is:

Correct option is C

Given:
Each interior angle of a regular polygon is 135°. We need to find the number of sides of the polygon.
Formula Used:
​$$\text{Interior Angle} = \frac{(n-2) \times 180}{n}, \\$$​​
where n is the number of sides of the polygon.
Solution:
Let the number of sides of the polygon be n. 
​$$135 = \frac{(n-2) \times 180}{n} \\135n = (n-2) \times 180 \\135n = 180n - 360 \\180n - 135n = 360 \\45n = 360 \\n = \frac{360}{45} = 8 \\$$​​
The number of sides the polygon has is 8.