Math, asked by pkeshav364, 9 months ago

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Answers

Answered by Saby123
13

In the above Question , th following information is given -

We have been given a regular polygon of 12 sides.

To find -

Find the interior angle of this polygon .

Options Provided -

[ A ] 75 °

[ B ] 100 °

[ C ] 120°

[ D ] 150°

Solution -

We know that , sum of all the exterior angles in any polygon is 360°

Now , this is a twelve sided polygon.

Hence ,

Value of each Exterior Angle of this polygon -

=> [ 360° / 12 ]

=> 30°

Now , we know that -

The exterior angle and the corresponding interior angle is supplementary .

So ,

Value of interior angle -

=> 180° - 30°

=> 150°

Corresponding exterior angle = 150°

Hence , Option D is the correct answer.

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Answered by Anonymous
9

Step-by-step explanation:

Given :-

  • regular polygon of 12 sides

To Find :-

  • Find the interior angel

We know that

  • =360/12= 30

  • 180-30=150

Answer is 150.

Extra knowledge :-

  • The sum of the three angles of a triangle is 180°.

  • The sum of the four corners of the quadrilateral is 360°.

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