8.1 Find Angle Measures In Polygons Worksheet: A Comprehensive Guide
What Are The Different Types of Polygons?
A polygon is a closed figure made up of three or more sides. The most common types of polygons are triangles, quadrilaterals, pentagons, hexagons, and octagons. Each of these shapes has its own unique properties when it comes to angle measurements. For example, a triangle has three interior angles that always add up to 180°, while a quadrilateral has four angles whose sum is usually 360°.
How To Find Angle Measures In Polygons?
The easiest way to find angle measures in polygons is to use a worksheet. A worksheet contains a set of questions and instructions that will help you calculate the angles of a polygon. It is important to remember that the angles of a polygon can be calculated using either the interior angles or the exterior angles. The interior angles are the angles that are located inside the polygon, while the exterior angles are located outside of the polygon.
What Is The Formula To Calculate The Interior Angles Of A Polygon?
The formula to calculate the interior angles of a polygon is as follows: (n-2)*180°/n, where n is the number of sides of the polygon. This formula can be used to calculate the sum of the interior angles of any polygon. For example, if the polygon has five sides, the sum of its interior angles will be (5-2)*180°/5 = 540°.
What Is The Formula To Calculate The Exterior Angles Of A Polygon?
The formula to calculate the exterior angles of a polygon is as follows: 360°/n, where n is the number of sides of the polygon. This formula can be used to calculate the measure of each exterior angle of any polygon. For example, if the polygon has five sides, the measure of each exterior angle will be 360°/5 = 72°.
Conclusion
Finding angle measures in polygons can be a difficult task, but with the help of a worksheet, it can be made much easier. By using the formulas for interior and exterior angles, you can quickly calculate the angles of any polygon. So, make sure to use a worksheet to help you find the angle measures in polygons.
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