Q43. - Algebra 2

Question

For Exercises 41-43, use the equation $\mathbf{d}=\mathbf{180}\left(\mathbf{c}-\mathbf{2}\right)$ that gives the total number of degrees $\mathbf{d}$ in any convex polygon with $\mathbf{c}$ sides.

Find the number of degrees in a pentagon.

Step-by-Step Solution

Answer

The number of degrees in a pentagon is 540.

Step 1 – State the concept

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

Step 2 – List the given data

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

Step 3 – Evaluate the objective

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

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

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

So, $d=540$.

 This implies that a pentagon has 540 degrees.