Chapter 5: Q. 14 (page 200)

Complete the following statement.
If a regular polygon has 40 sides, the measure of each interior angle is ___?

Short Answer

Expert verified

If a regular polygon has 40 sides, then the measure of each interior angle is 171 degrees.

Step by step solution

Step 1- Apply the formula of the interior angle.

The measure of each interior angle is $\frac{180 (n - 2)}{n}$ .

Step 2- Find the measure of interior angle.

Here $n = 40$ .

Substitute 40 for n in the formula and find the interior angle.

Step 2- Step description.

$\begin{array}{l} = \frac{180 (n - 2)}{n} \\ = \frac{180 (40 - 2)}{40} \\ = \frac{180 (38)}{40} \\ = 171 \end{array}$ .

Therefore, the measure of each interior angle is 171 degrees.

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Complete the following statement.
If a regular polygon has 40 sides, the measure of each interior angle is ___?

Short Answer

Step by step solution

Step 1- Apply the formula of the interior angle.

Step 2- Find the measure of interior angle.

Step 2- Step description.

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Complete the following statement.If a regular polygon has 40 sides, the measure of each interior angle is ___?

Short Answer

Step by step solution

Step 1- Apply the formula of the interior angle.

Step 2- Find the measure of interior angle.

Step 2- Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Logic and Functions

Mechanics Maths

Geometry

Probability and Statistics

Calculus

Study anywhere. Anytime. Across all devices.

Complete the following statement.
If a regular polygon has 40 sides, the measure of each interior angle is ___?