A regular polygon is drawn in a cide so that each vertex is on the chce and is connected to the center by a radius Each of
the central angles has a measure of 40" How many sides does the polygon have
10

9

Step-by-step explanation:

The number of central angles in a regular polygon is always equal to the number of sides of the polygon.

Therefore, we have:

= number of central angles

number of sides in the polygon

So

We also know that the sum of the central angles in a polygon must be 360 degreeso, so we have:

where

= measure of each central angle

Here we are told that

So we can find the number of central angles:

So, the polygon has 9 sides:

3x + 4y -25 =0 represents the amount of change sianna should recieve