Find the measure of each exterior angle of a regular decagon . explain .number 4

A decagon is a polygon that has 10 sides and 10 interior angles ("deca" comes from the greek "deka" which means 10; the part "gon" is from the greek "gonia" for "corner or angle". So "decagon" means "10 corners" or "10 angles")

A regular decagon has each exterior angle equal to 36 degrees. To find this, you would divide 360 over 10. The formula you use is
E = 360/n
E = 360/10
E = 36
Where n is the number of sides and E is the exterior angle measure. Keep in mind this formula only works for regular polygons. The polygons must have the same side length all around, and the angles must be congruent as well.

36

s=5 b=6

Step-by-step explanation:

2s + 3b = 28.

3s + 2b = 27

First, multiply the first eqn by 3 and multiply the first eqn by 2.

FROM FIRST EQUATION

3 (2s + 3b= 28)

6s + 9b = 84.

FROM SECOND EQUATION

2 (3s+2b =27)

6s + 4b = 54

FIRST EQUATION - SECOND EQUATION

(6s+9b)-(6s+4b) = 84-54

6s+9b-6s-4b = 30

6s-6s+9b-4b=30

5b=30

b=6

Then, substitute b=6 into the first eqn.( the second eqn also can be used)

6s+9(6) =84

6s + 54 = 84

6s = 84-54

6s = 30

s=5

Thank you.