an interior angle is an angle formed by the two consecutive sides of a polygon.

Yes, that's correct! An interior angle is formed by two adjacent sides of a polygon that meet at a vertex. In the context of polygon geometry, each vertex contributes to the internal angles of the shape.

To elaborate:

1. Polygon Definition: A polygon is a closed figure with straight sides. The number of sides determines the types and sums of interior angles.

2. Interior Angles: The measure of each interior angle can vary, depending on the polygon's shape. For example, a triangle has three interior angles, a quadrilateral has four, and so on.

3. Sum of Interior Angles: The sum of the interior angles of a polygon can be calculated using the formula: $\text{Sum of interior angles} = (n - 2) \times 180^\circ$ where $n$ is the number of sides in the polygon.

4. Convex and Concave Polygons: In convex polygons, all interior angles are less than $180^\circ$, while in concave polygons, at least one interior angle exceeds $180^\circ$.

5. Applications: Understanding interior angles is crucial in fields like architecture, design, and various branches of mathematics.

This geometric concept is essential for solving problems related to polygons and their properties.