Interior And Exterior Angles Worksheet With Answers Pdf
If you are a student who has been struggling with geometry, you may have heard of interior and exterior angles. These are important concepts that can help you understand various geometric shapes and polygons. In this article, we will discuss interior and exterior angles, their formulas, and how to solve problems related to them. We will also provide you with an interior and exterior angles worksheet with answers pdf that you can use to practice.
What are Interior and Exterior Angles?
Interior angles are the angles formed inside a polygon between two adjacent sides. For example, in a triangle, there are three interior angles formed at each vertex. The sum of all interior angles of a polygon is given by the formula (n-2) x 180, where n is the number of sides of the polygon.
Exterior angles are formed outside a polygon by extending one side of the polygon. The angle formed by this extension and the adjacent side is known as the exterior angle. The sum of all exterior angles of a polygon is always 360 degrees.
Formulas for Interior and Exterior Angles
The formulas for interior and exterior angles are as follows:
Interior Angle Sum Formula:
(n-2) x 180 = Sum of all interior angles
Interior Angle Formula:
Interior angle = (Sum of all interior angles) / n
Exterior Angle Formula:
Exterior angle = 360 / n
How to Solve Interior and Exterior Angle Problems
Solving interior and exterior angle problems can be tricky, but the following steps can help you:
- Identify the polygon and the number of sides.
- Use the interior angle sum formula to find the sum of all interior angles.
- Use the interior angle formula to find the measure of each interior angle.
- Use the exterior angle formula to find the measure of each exterior angle.
- Use the properties of angles to solve the problem.
It is important to remember that the sum of the measures of interior angles of a polygon is always (n-2)180 degrees and the sum of the measures of exterior angles of a polygon is always 360 degrees.
Interior and Exterior Angles Worksheet with Answers Pdf
Now that you have learned about interior and exterior angles, it is time to test your knowledge. We have prepared an interior and exterior angles worksheet with answers pdf that you can download and use to practice. This worksheet includes different types of problems related to interior and exterior angles, including finding the measures of angles, identifying the type of polygon, and solving word problems.
Download the Interior and Exterior Angles Worksheet With Answers Pdf: https://www.mathsisfun.com/geometry/images/pdf/worksheets/geometry-interior-exterior-angles.pdf
Conclusion
In conclusion, interior and exterior angles are important concepts in geometry that can help you understand various polygons. By using the formulas and solving problems related to interior and exterior angles, you can improve your understanding of geometry and excel in your studies. Use the interior and exterior angles worksheet with answers pdf to practice and enhance your skills. Happy learning!
