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

Answer :

(a) A regular polygon of 3 sides i.e, equilateral triangle has the least measure of an interior angle= \(60^{\circ}\).

(b) Since the minimum interior angle of a regular polygon is equal to 60°, therefore, the maximum exterior angle possible for a regular polygon = \(180^{\circ} – 60^{\circ} = 120^{\circ}\)

- 1.Find x in the following figures.
- 2.Find the measure of each exterior angle of a regular polygon of (i) 9 sides (ii) 15 sides
- 3.How many sides does a regular polygon have if the measure of an exterior angle is \(24^{\circ}\)?
- 4.How many sides does a regular polygon have if each of its interior angles is \(165^{\circ}\)?
- 5.(a) Is it possible to have a regular polygon with measure of each exterior angle a is \(22^{\circ}\)? (b) Can it be an interior angle of a regular polygon? Why?

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