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Question
Which of the following can never be the measure of exterior angle of a regular polygon?
Options
22°
36°
45°
30°
Solution
22°
Explanation:
Since, we know that, the sum of measures of exterior angles of a polygon is 360°, i.e. measure of each exterior angle = 360°/n, where n is the number of sides/angles.
Thus, measure of each exterior angle will always divide 360° completely.
Hence, 22° can never be the measure of exterior angle of a regular polygon.
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