MCQ practice · SSC General Mathematics Board questions · Chapter 16: Mensuration
What is the angle at a vertex of a regular pentagon?
Think it through first, then pick an option.
- a 72°
- b 90°
- c 108°
- d 144°
Answer and explanation
Correct answer: c 108°
Vertex angle = 180° − 360°/5 = 108°.
Why the other options are wrong
- a 72°: 72° = 360°/5 is the central angle; the vertex angle is 180° − 72° = 108°.
- b 90°: 90° is the square's vertex angle; the pentagon's is 108°.
- d 144°: 144° is the regular decagon's vertex angle; the pentagon's is 108°.
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