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Understanding Quadrilaterals

Short 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°?

Each exterior angle = $space space space space 22 degree$

∴ Number of sides = $space space space space space space space space space fraction numerator 360 degree over denominator 22 degree end fraction equals space 180 over 11$

Which is not a whole number.

If it is a regular polygon, then its number of sides must be a whole number.

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