Question
Which of the following can never be the measure of the exterior angle of a regular polygon?
a) 22∘
b) 36∘
c) 45∘
d) 30∘
Which of the following can never be the measure of the exterior angle of a regular polygon?
a) 22∘
b) 36∘
c) 45∘
d) 30∘
Answer:
:
We know that the sum of all exterior angles of a polygon is 360∘.
The measure of each exterior angle is 360∘n, where n is the number of sides/angles.
Thus, the measure of each exterior angle will always be a factor of 360∘.
Hence, 22∘ can never be the measure of the exterior angle of a regular polygon.
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:
We know that the sum of all exterior angles of a polygon is 360∘.
The measure of each exterior angle is 360∘n, where n is the number of sides/angles.
Thus, the measure of each exterior angle will always be a factor of 360∘.
Hence, 22∘ can never be the measure of the exterior angle of a regular polygon.
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