A decagon is a polygon with 10 sides and 10 angles. The sum of the interior angles of a decagon is always 1440 degrees. The formula to find the sum of the interior angles of a decagon is:

Sum of interior angles = (n-2) * 180

where n is the number of sides of the polygon.

To find the measure of each interior angle of a regular decagon, we use the formula:

Measure of each interior angle = Sum of interior angles / Number of sides

For a decagon, the measure of each interior angle is 1440 / 10 = 144 degrees.

A regular decagon has all sides and angles equal. An irregular decagon has sides and/or angles that are not all equal.

- A decagon has 10 sides.
- A decagon has 10 angles.
- The sum of the interior angles of a decagon is 1440 degrees.
- A regular decagon has all sides and angles equal.

Find the measure of each interior angle of a regular decagon.

Measure of each interior angle = 1440 / 10 = 144 degrees.

Therefore, the measure of each interior angle of a regular decagon is 144 degrees.

Now that you understand the properties and formulas related to decagons, you can practice solving problems and identifying decagons in different geometric figures.

Good luck with your studies!

.Study GuideAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Grade 6 Curriculum Focal Points (NCTM)

Algebra: Writing, interpreting, and using mathematical expressions and equations

Students write mathematical expressions and equations that correspond to given situations, they evaluate expressions, and they use expressions and formulas to solve problems. They understand that variables represent numbers whose exact values are not yet specified, and they use variables appropriately. Students understand that expressions in different forms can be equivalent, and they can rewrite an expression to represent a quantity in a different way (e.g., to make it more compact or to feature different information). Students know that the solutions of an equation are the values of the variables that make the equation true. They solve simple one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. They construct and analyze tables (e.g., to show quantities that are in equivalent ratios), and they use equations to describe simple relationships (such as 3x = y) shown in a table.