Nick cut a circular cookie into 5 equal slices. what is the angle measure of each slice?

Using concepts of circles, it is found that the angle measure of each slice is of 72º.

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5 equal slices, thus:

The angle measure of each slice is of 72º.

A similar problem is given at link

72°

Step-by-step explanation:

The cookie has a shape of a circle. A circle is the locus of a point such that its distance from a point (center) is always the same. The sum of angles around the circle center is 360°.

Let x be the measure of the angle in each slice. Therefore the sum of the total 5 slice is:

x + x + x + x + x  = 360

5x = 360

Dividing through by 5:

5x / 5 = 360 / 5

x = 72°

Each slice has an angle measure of 72°