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Use your answer to part (a) to write down the size of the interior angle of a regular 12-sided polygon. - OCR - GCSE Maths - Question 17 - 2020 - Paper 3

Question 17

Use your answer to part (a) to write down the size of the interior angle of a regular 12-sided polygon.

Worked Solution & Example Answer:Use your answer to part (a) to write down the size of the interior angle of a regular 12-sided polygon. - OCR - GCSE Maths - Question 17 - 2020 - Paper 3

Step 1

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Answer

To find the size of the interior angle of a regular polygon, we use the formula:

$ext{Interior Angle} = rac{(n - 2) imes 180}{n}$

where $n$ is the number of sides. For a 12-sided polygon, we have:

$ext{Interior Angle} = rac{(12 - 2) imes 180}{12} = rac{10 imes 180}{12} = 150$

Thus, the interior angle of a regular 12-sided polygon is $150$ degrees.

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