Can it be an interior angle of a regular polygon? Why? from Mat

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 Multiple Choice QuestionsShort Answer Type

61.

Take a regular hexagon as shown in the figures:


Repeat this activity for the cases of (i)A regular octagon

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62.

Find x in the following figures.

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63.

Find the measure of each exterior angle of a regular polygon of  9 sides

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64.

Find the measure of each exterior angle of a regular polygon of  15 sides

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65.

How many sides does a regular polygon have if the measure of an exterior angle is 24°?

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66.

How many sides does a regular polygon have if each of its interior angles is 165°?

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67.

5. (a) Is it possible to have a regular polygon with measure of each exterior angle is 22°?

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68.

Can it be an interior angle of a regular polygon? Why?


If 22° is an interior angle, then 180° - 22°, i.e. 158° is exterior angle.


If 22° is an interior angle, then 180° - 22°, i.e. 158° is exteri

Thus, 22° cannot be an interior angle of a regular polygon.

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69.

What is the minimum interior angle possible for a regular polygon? Why?

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70.

What is the maximum exterior angle possible for a regular polygon?

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