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Naya [18.7K]
3 years ago
8

What is the sum of interior angles of a 53-gon? Type just the number, no words, letters, or symbols

Mathematics
1 answer:
MissTica3 years ago
8 0

Answer:

S = 9180°

Step-by-step explanation:

Given the following data;

Number of sides = 53

To find the sum of interior angles of a 53-gon;

Mathematically, the sum of the interior angles in a regular polygon is given by the formula;

S = 180(n - 2)

Where;

n is the number of sides.

S is the sum of the interior angles

Substituting into the formula, we have;

S = 180(53 - 2)

S = 180 * 51

S = 9180°

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Step 1.

Calculate measure of angle α:

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Step 2.

Calculate what fraction of the angle 360° ​​is the angle α:

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Step 3.

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Step 4.

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earnstyle [38]
We know that
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Answer:

Explanation:

Method 1

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undefined

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