Each of a regular polygon is 140°,find the number of the sides that ghe polygon has

Mathematics

2 answers:

Sloan [31]3 years ago

5 0

Answer:

the answer should be 360/36=10 sides

Step-by-step explanation:

A regular polygon is 144 deg the exterior angle is 36 deg.

Troyanec [42]3 years ago

4 0

Answer:

9 sides

Step-by-step explanation:

Internal angles of the regular polygon have a property, sum of interior angles is equal to:

sum = (n-2)*180°

n sides each interior angle equal to 140°, then

sum = 140°n

Comparing the two equations:

(n-2)*180= 140n
180n - 360 = 140n
40n = 360
n = 360/40
n = 9

The polygon has 9 sides

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