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Each side of the pentagon is extended (dashed) to show its exterior angles. Four of them are 72°, 80°, 60° and 63°. Find the fifth exterior angle .

Class 8Understanding QuadrilateralsQuadrilaterals
  • A95°
  • B85°
  • C265°
  • D275°

Step-by-Step Solution

The exterior angles of any polygon, taken one at each vertex, add up to .
Answer: B) 85°

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°.

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