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Bumek [7]
3 years ago
5

Find the value of x with explanation please

Mathematics
1 answer:
zmey [24]3 years ago
8 0

Answer:

11.2

Step-by-step explanation:

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How to find the central angle of a regular polygon
Annette [7]

Answer:

I hope this helps

Step-by-step explanation:

Central angle of a regular polygon:

The central angle of a polygon is the angle made at the center of a polygon by any two adjacent vertices as shown in the figure below.

In the above figure, the angles a, b, c, d, e and f are the central angles of the hexagon. There are 6 central angles in a hexagon. The number of central angles in a polygon is always equal to the number of sides of the polygon.

As you can see in the figure above, all the central angles of the polygon together will always form a complete circle. Hence the central angles add up to 360° in all polygons. Since a regular polygon has all equal sides, the central angles in a regular polygon are also equal.

So to find the measure of the central angles of a regular polygon follow the steps below:

First identify the number of sides ‘n’.

Then divide 360° by n.

For example: say you need to find the central angle of a regular pentagon.

First identify the number of sides ‘n’: here n = 5

Then divide 360° by n: 360° ÷ 5 = 72°.

Conversely, you can also find the number of sides of a regular polygon, when the central angle is given, by dividing 360 by the central angle.

Note: In the case of an irregular polygon, since there is no clear center for an irregular polygon, it has no central angle.

3 0
3 years ago
11) The measure of each interior angle of a regular 11-sided polygon is
Svet_ta [14]

Answer:

Step-by-step explanation:

Always , sum of exterior angle of any polygon  = 360

sum of exterior angle of 11- sided polygon  = 360

Measurement of  an exterior angle of 11-sided polygon  = 360/11

                                                 = 32.73

Measurement of  an interior angle of 11-sided polygon = 180 - 32 8/11

= 180 - 32.73= 147.27

7 0
3 years ago
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