Chapter 2: Q43. (page 79)

For Exercises 41-43, use the equation $d = 180 (c - 2)$ that gives the total number of degrees $d$ in any convex polygon with $c$ sides.
Find the number of degrees in a pentagon.

Short Answer

Expert verified

The number of degrees in a pentagon is540.

Step by step solution

– State the concept

The value of a function at a point is obtained by putting that value in the expression of the function.

– List the given data

The given equation is $d = 180 (c - 2)$ , where $c$ is the number of sides of a convex polygon and $d$ is the total number of degrees

– Evaluate the objective

A pentagon has 5 sides. So, here $c = 5$ .

Put $c = 5$ in $d = 180 (c - 2)$ to get,

$\begin{array}{l} d = 180 (5 - 2) \\ = 180 (3) \\ = 540 \end{array}$

So, $d = 540$ .

This implies that a pentagon has 540 degrees.

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For Exercises 41-43, use the equation $d = 180 (c - 2)$ that gives the total number of degrees $d$ in any convex polygon with $c$ sides.
Find the number of degrees in a pentagon.

Short Answer

Step by step solution

– State the concept

– List the given data

– Evaluate the objective

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For Exercises 41-43, use the equation d=180c-2that gives the total number of degrees din any convex polygon with csides.Find the number of degrees in a pentagon.

Short Answer

Step by step solution

– State the concept

– List the given data

– Evaluate the objective

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Calculus

Geometry

Theoretical and Mathematical Physics

Probability and Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

For Exercises 41-43, use the equation $d = 180 (c - 2)$ that gives the total number of degrees $d$ in any convex polygon with $c$ sides.
Find the number of degrees in a pentagon.