Among the angles 30 deg 36 deg 45 deg 50 deg one angle cannot be an exterior angle of a regular poly...........

Quantitative Aptitude ( CCS) Geometry

Download Solution PDF

Among the angles 30°, 36°, 45°, 50° one angle cannot be an exterior angle of a regular polygon. The angle is

30°

36°

45°

50°

छोटे Courses बड़े Results

Master Geometry

Prepare through Micro-courses

Try Now

Explanation:

Sum of exterior angles of a regular polygon = 360°
But, 360° /50° = 7.2 ≠ a whole number
Clearly, the angle 50° doesn't completely divide 360° which means we can't get a total of 360° by adding 50° to n times.
On the other hand the rest of the angles satisfy the condition.
For instance:
30° + 30° + ...... + 12 times = 360°
36° + 36° + ...... + 10 times = 360°
45° + 45° + ...... + 8 times = 360°
Therefore, it's clear that 50° can't be an angle of a regular polygon.