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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 (°). ​

LOOK AT IMAGEThe sides of a regular 12sided polygon have been extended to make a star as shown below Calculate the size of angle x Give your answer in degrees class=

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Medunno13

Answer: 120

Step-by-step explanation:

The interior angle of the 12-sided polygon is

[tex]\frac{180(12-2)}{12}=150^{\circ}[/tex]

So, if we consider the triangle with angle x, two of its angles are each [tex]30^{\circ}[/tex] 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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