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Chapter 2: Q43. (page 79)

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

Expert verified

The number of degrees in a pentagon is540.

Step by step solution

01

– State the concept

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

02

– List the given data

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

03

– Evaluate the objective

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

Put c=5ind=180c-2 to get,

d=180(5鈭�2)=180(3)=540

So, d=540.

This implies that a pentagon has 540 degrees.

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