The difference between any two consecutive interior angles of a polygon is `5o`. If the smallest angle is `120o`, find the number of the sides of the polygon.

Explanation

To solve the problem step by step, we will follow the reasoning laid out in the video transcript.

### Step 1: Understand the problem
We know that the smallest interior angle of the polygon is \(120^\circ\) and the difference between any two consecutive interior angles is \(5^\circ\). We need to find the number of sides (\(n\)) of the polygon.

### Step 2: Define the angles
Let the smallest angle be \(a = 120^\circ\). The angles of the polygon can be expressed as:
- First angle: \(a = 120^\circ\)
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