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

a-30
b-216
c-150
d-112.5

User Ropez
by
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1 Answer

8 votes

Answer:

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

Hence, option 'C' is correct.

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.

User Milos Mosovsky
by
3.3k points