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Natasha2012 [34]
2 years ago
10

What is the measure of an interior angle of a regular 12-gon?

Mathematics
1 answer:
gavmur [86]2 years ago
4 0

Answer:

The measure of an interior angle of a regular 12-gon is 150°.

Hence, option 'C' is correct.                          

Step-by-step explanation:

We need to determine the measure of an interior angle of a regular 12-gon.

  • We know that the number of sides in a regular 12-gon = n = 12

Thus,

Using the formula to determine the measure of an interior angle of a regular 12-gon is given by

(n - 2) × 180° = n × interior angle

substitute n = 12

(12 - 2) × 180 = 12 × interior angle

10 × 180 = 12 × interior angle

Interior angle = (10 × 180) / 12

                      = 1800 / 12

                      = 150°

Therefore, the measure of an interior angle of a regular 12-gon is 150°.

Hence, option 'C' is correct.                          

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The question is incomplete:

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