6. (a) What is the minimum interior angle possible for a regular polygon? Why
(b) What is the maximum exterior angle possible for a regular polygon?
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6. (a) What is the minimum interior angle possible for a regular polygon? Why
(b) What is the maximum exterior angle possible for a regular polygon?
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Answer:
A) The minimum number of sides of a polygon = 3 The regular polygon of 3-sides is an equilateral. (b) ∴ The sum of an exterior angle and its corresponding interior angle is 180°. ... Thus, 22° cannot be an interior angle of a regular polygon.
B) Exterior angles of a polygon are formed when by one of its sides and extending the other side. The sum of all the exterior angles in a polygon is equal to 360 degrees. Each exterior angle of an equilateral triangle is 120 degrees and hence this the maximum possible value of the exterior angle of a regular polygon.
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