Interior Angles of a Polygon - Geometry | Summary and Q&A

TL;DR

Learn about the different types of polygons and how to calculate the measure of interior angles.

Key Insights

• 🙃 A polygon with three sides is called a triangle, while a polygon with four sides is a quadrilateral.
• 🙃 In regular polygons, all sides and angles are congruent.
• 🍹 The sum of interior angles in a polygon can be found using the formula (n-2) * 180.

Transcript

in this video we're going to talk about polygons a polygon with three sides is known as a triangle a polygon with four sides is a quadrilateral now if we're dealing with regular polygons all four sides are congruent and all angles are the same which makes this particular quadrilateral a square a five-sided polygon is known as a pentagon and a polyg... Read More

Questions & Answers

Q: What is a regular polygon?

A regular polygon is a polygon in which all sides and angles are congruent.

Q: How do you find the measure of an interior angle in a polygon?

To find the measure of an interior angle, use the formula (n-2) * 180, where n represents the number of sides in the polygon. Divide the sum by the number of sides to get the measure of each interior angle.

Q: How many degrees is each interior angle in a pentagon?

In a regular pentagon, the sum of all interior angles is 540 degrees. Dividing it by the number of sides (5), each interior angle measures 108 degrees.

Q: What is the measure of each interior angle in a hexagon?

In a regular hexagon, the sum of all interior angles is 720 degrees. Dividing it by the number of sides (6), each interior angle measures 120 degrees.

Summary & Key Takeaways

• A polygon with three sides is called a triangle, four sides is a quadrilateral, five sides is a pentagon, and six sides is a hexagon.

• For regular polygons, all sides are congruent and all angles are the same, making some quadrilaterals squares.

• To find the measure of an interior angle, use the formula (n-2) * 180, where n is the number of sides, and divide by the number of sides.