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Understanding Quadrilaterals | Exercise 3.2

Question 6

Q5)

(a) Is it possible to have a regular polygon with measure of each exterior angle as 22°?

(b) Can it be an interior angle of a regular polygon? Why?

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Solution 5:

(a): The sum of all exterior angles is 360,

A polygon will be possible 22 is proper multiple of 360

Since 22 is not a proper multiple of 360, the polygon wont be possible.

(b): Interior angle=22

Exterior angle=180-22

=158

Since 158 is not a proper multiple of 360 the polygon wont be possible.

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subject-cta

Question 6

Q5)

(a) Is it possible to have a regular polygon with measure of each exterior angle as 22°?

(b) Can it be an interior angle of a regular polygon? Why?

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

Solution 5:

(a): The sum of all exterior angles is 360,

A polygon will be possible 22 is proper multiple of 360

Since 22 is not a proper multiple of 360, the polygon wont be possible.

(b): Interior angle=22

Exterior angle=180-22

=158

Since 158 is not a proper multiple of 360 the polygon wont be possible.

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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