Answered

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find the sum of the measures of the interior angles of each convex polygon.dodecagon 20-gon29-gon 32-gon

Sagot :

Answers:

dodecagon: 1800

20-gon: 3600

29-gon: 4860

32-gon: 5400

Explanation:

The sum of the measures of the interior angles can be calculated as:

(n - 2)·180

Where n is the number of sides of the polygon.

So, if a dodecagon has 12 sides, the sum of the measures of the interior angles are:

(12 - 2)·180 = (10)·180 = 1800

In, the same way, the sum of the measures of the interior angles of each polygon is:

20-gon: (20 - 2)·180 = 20·180 = 3600

29-gon: (29 - 2)·180 = 27·180 = 4860

32-gon: (32 - 2)·180 = 30·180 = 5400

Therefore, the answers are:

dodecagon: 1800

20-gon: 3600

29-gon: 4860

32-gon: 5400

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