Which of the following is/are not the interior angle(s) of a regular polygon? I.108° II. 116° III. 120°
Question 1 Report
Which of the following is/are not the interior angle(s) of a regular polygon? I.108° II. 116° III. 120°
Answer Details
A regular polygon is a polygon with all sides and angles equal. Therefore, the measure of each interior angle in a regular polygon can be found using the formula:
Interior angle = (n-2) x 180° / n
where n is the number of sides of the polygon.
Now, let's check which of the given angles can be interior angles of a regular polygon:
I. 108° = (n-2) x 180° / n --> n = 5
II. 116° = (n-2) x 180° / n --> n ≈ 7.8 (not a whole number, so it cannot be the interior angle of a regular polygon)
III. 120° = (n-2) x 180° / n --> n = 5
Therefore, the answer is (II only).
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