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Mkey [24]
3 years ago
13

If an interior angle of a regular polygon measures 144° how many sides does the polygon have

Mathematics
1 answer:
Vikki [24]3 years ago
6 0

Answer:

Step-by-step explanation:

The interior angle of a polygon is given by

(n-2)×180

or for regular polygon n × each interior angle.

Therefore since it is a regular polygon

Given than interior angle is 144

Then,

(n-2)×180=n× interior angle

180n-360=144n

180n-144n=360

36n=360

Then, n=360/36

n=10

Then the polygon has 10_sides which is a decagon.

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Answer:

Step-by-step explanation:

Remark

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At first you may think that this is a translation of some kind. I thought so at first. D and D' certainly look that way and C and C' also look that way. But B and E are not well behaved. You are looking at a 180 degree rotation

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I'll leave C and D to you and do one of the B and E

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