Question:
Which of the following can never be the measure of exterior angle of a regular polygon?
(a) 22°
(b) 36°
(c)45°
(d) 30°
Solution:
(a) 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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