- A360°
- B180°
- Cdepends on the number of sides
- D540°
Step-by-Step Solution
The sum of one exterior angle at each vertex of any convex polygon is always 360°, regardless of the number of sides.
Answer: A) 360°
The sum of the exterior angles of any convex polygon (one at each vertex) is always:
Class 8Understanding QuadrilateralsQuadrilaterals
Key idea: Sum of exterior angles
**The sum of the exterior angles of any convex polygon (one at each vertex) is always 360°** — no matter how many sides.
For a regular n-gon, each exterior angle = 360°/n. So a regular quadrilateral (square) has exterior angle 360/4 = 90°. A regular pentagon: 72°. A regular hexagon: 60°.
For a regular n-gon, each exterior angle = 360°/n. So a regular quadrilateral (square) has exterior angle 360/4 = 90°. A regular pentagon: 72°. A regular hexagon: 60°.
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