(LOOK AT IMAGE) The sides of a regular 12-sided polygon have been extended to make a star, as shown below. Calculate the size of angle x. Give your answer in degrees (°).

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asked Sep 25, 2023 204k views

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DenEwout · Answer 1 · 2023-09-29T06:58:38+0000

Answer: 120

Explanation:

The interior angle of the 12-sided polygon is

$(180(12-2))/(12)=150^(\circ)$

So, if we consider the triangle with angle x, two of its angles are each
$30^(\circ)$ since they are supplementary to the interior angle of the 12-sided polygon.

Therefore, as angles in a triangle add to 180 degrees, x=120.

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(LOOK AT IMAGE) The sides of a regular 12-sided polygon have been extended to make a star, as shown below. Calculate the size of angle x. Give your answer in degrees (°).

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(LOOK AT IMAGE) The sides of a regular 12-sided polygon have been extended to make a star, as shown below. Calculate the size of angle x. Give your answer in degrees (°). ​

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(LOOK AT IMAGE) The sides of a regular 12-sided polygon have been extended to make a star, as shown below. Calculate the size of angle x. Give your answer in degrees (°).