Question

Os 5. Find the number of sides of a regular polygon it each exterior angle of the polygon is
(a) 90






(b) 45








(c) 12








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Answer 1

Answer:

45

Step-by-step explanation:

answer is 45.

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Answer 2

Given that, a regular polygon whose each exterior angle has a measure of 90, 45 and 12.

To find: Number of sides.

Solution: Assume that a polygon has x number of sides.

a) A regular polygon whose each exterior angle has a measure of 90.

→ 360/x = 90

→ 360/90 = x

→ 4 = x

Hence, the number of sides is 4.

b) A regular polygon whose each exterior angle has a measure of 45.

→ 360/x = 45

→ 360/45 = x

→ 8 = x

Hence, the number of sides is 8.

c) A regular polygon whose each exterior angle has a measure of 12.

→ 360/x = 12

→ 360/12 = x

→ 30 = x

Hence, the number of sides is 30.