What is the relationship between the sum of the interior angles and the exterior
Practice Questions
Q1
What is the relationship between the sum of the interior angles and the exterior angles of a polygon?
Interior angles sum to 180 degrees
Exterior angles sum to 360 degrees
Both sum to 360 degrees
Interior angles sum to 360 degrees
Questions & Step-by-Step Solutions
What is the relationship between the sum of the interior angles and the exterior angles of a polygon?
Step 1: Understand what a polygon is. A polygon is a shape with straight sides, like a triangle or a square.
Step 2: Learn about interior angles. Interior angles are the angles inside the polygon formed by two adjacent sides.
Step 3: Know that the sum of the interior angles of a polygon depends on the number of sides. The formula is (n - 2) * 180 degrees, where n is the number of sides.
Step 4: Understand what exterior angles are. Exterior angles are formed by extending one side of the polygon and measuring the angle outside the polygon.
Step 5: Learn that the sum of the exterior angles of any polygon is always 360 degrees, no matter how many sides it has.
Step 6: Realize that the relationship is that while the sum of interior angles changes with the number of sides, the sum of exterior angles remains constant at 360 degrees.
