Question

Find the measure of each interior angle of a regular polygon with 10 sides

Answer 1

In a regular having 10 sides, all sides are of same size and measure of all interior agles is the same. The sum of interior angles of polygon is (n−2)×180 degrees where n is the number of sides of polygon (10−2)×180 degrees =1440 o here n=10 Each interior angle =1440/10=144 degrees

Answer 2

interior angle=(180*(n-2))/n

n=number of sides of the polygon

interior angle=(180*(10-2))/10

=(180*8)/10

=1440/10

=144

each interior angle is 144 degrees

Answer 3

To find the measure of each interior angle of a regular polygon, we can use the formula:

measure of each interior angle = (n-2)*180/n

where n is the number of sides of the polygon.

For a regular polygon with 10 sides, we plug in n=10 into the formula:

measure of each interior angle = (10-2)*180/10

                                  = 8*180/10

                                  = 144 degrees

Therefore, each interior angle of a regular polygon with 10 sides measures 144 degrees.

Answer 4

To find the measure of each interior angle of a regular polygon with 10 sides, you can use the formula:

Interior Angle = (180 * (n - 2)) / n

In this formula, "n" represents the number of sides in the polygon.

For a regular decagon (a polygon with 10 sides), plug in "n = 10" into the formula:

Interior Angle = (180 * (10 - 2)) / 10

Interior Angle = (180 * 8) / 10

Now, calculate:

Interior Angle = 1440 / 10

Interior Angle = 144 degrees

So, each interior angle of a regular decagon measures 144 degrees.

Answer 5

The measure of each interior angle of a regular polygon can be found using the formula: (n-2) * 180 / n, where n is the number of sides of the polygon. For a regular polygon with 10 sides, the measure of each interior angle is (10-2) * 180 / 10 = 144 degrees.

Answer 6

interior angle=(180°*(n-2))/n 

interior angle=(180°*(10-2))/10 

interior angle=(180°*8)/10 

interior angle=1440°/10 

interior angle=144°