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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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(a) Sum of all the exterior angles of a polygon = 360°

∴ 125° + 125° + x = 360°

or 250° + x = 360°

or x = 360° - 250° =110°

(b) ∵ x + 90° + 60° + 90° + 70° = 360° or x + 310° = 360°

or x = 360° - 310° = 50°

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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?

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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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