CDS 2024 · PYQ · Polygons / Geometry · easy
If the difference between the interior and exterior angles of a regular polygon is 144°, then what is the number of sides of the polygon ?
- A.12
- B.16
- C.18
- D.20✓ Correct
Interior angle + exterior angle = 180°. Interior − exterior = 144°. Solving: interior = 162°, exterior = 18°. Number of sides = 360°/exterior angle = 360°/18° = 20.
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