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20. Geometrical Proofs
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Q9 of 59 Page 195

Measurement of each exterior angle of a regular polygon is 60°. Let’s write the number of sides of that polygon.

Given:

Measurement of each exterior angle = 60°


Sum of all exterior angles of a regular polygon of n sides = 360°


Number of sides = 360 / 60


= 6


Hence this regular polygon with measure of each exterior angle of 60° is a hexagon.


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8 E

Let’s find whether the following measurement of each interior angle is possible for a regular polygon-

155°


8 F

Let’s find whether the following measurement of each interior angle is possible for a regular polygon-

160°


10

Measurement of each exterior angle of a regular polygon is 135°. Let’s us write the number of sides of the polygon.

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The ratio of measurement of an interior angle and an exterior angle of polygon is 3:2. Let’s write the number sides of the polygon.

Questions · 59
20. Geometrical Proofs
1 2 Let's 1 2 A 2 B 2 2 D Let 1 2 2 3 4 A 4 B 5 6 7 8 1 2 3 4 1 A 1 B 1 C 1 D 1 E 1 F 2 3 4 5 6 A 6 B 6 C 6 D 6 6 F 7 7 7 7 D 7 E 8 A 8 B 8 C 8 D 8 E 8 F 9 10 11 12 13 14 15 16 1 2 3
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