Interior Angles: Explanation and Study Guide
An interior angle is an angle formed by two sides of a polygon that are adjacent to each other. The interior angles of a polygon are the angles inside the shape. The sum of the interior angles of a polygon can be determined using a formula: (n-2) * 180°, where n is the number of sides of the polygon.
Properties of Interior Angles:
- Interior angles are always measured in degrees.
- The sum of the interior angles of a polygon with n sides is given by the formula (n-2) * 180°.
- For a triangle (a 3-sided polygon), the sum of the interior angles is always 180°.
- As the number of sides of a polygon increases, the sum of the interior angles also increases.
Study Guide:
- Understand the definition of an interior angle and its relation to polygons.
- Learn the formula for calculating the sum of the interior angles of a polygon: (n-2) * 180°.
- Practice calculating the sum of interior angles for different polygons, such as triangles, quadrilaterals, pentagons, and hexagons.
- Understand the concept of exterior angles and their relationship to interior angles in a polygon.
- Use the properties of interior angles to solve problems involving polygons and angles.
Understanding the concept of interior angles and their properties is essential in geometry and can help in solving various problems related to polygons and angles.
.◂Math Worksheets and Study Guides Seventh Grade. Plane Figures: Closed Figure Relationships
Study Guide
Plane Figures: Closed Figure Relationships 
Worksheet/Answer key
Plane Figures: Closed Figure Relationships Worksheet/Answer key
Plane Figures: Closed Figure Relationships Worksheet/Answer key
Plane Figures: Closed Figure Relationships
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
Geometry (NCTM)
Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.
Precisely describe, classify, and understand relationships among types of two- and three-dimensional objects using their defining properties.
Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.
Connections to the Grade 7 Focal Points (NCTM)
Data Analysis: Students use proportions to make estimates relating to a population on the basis of a sample. They apply percentages to make and interpret histograms and circle graphs.