- A108°
- B135°
- C60°
- D120°
Step-by-Step Solution
The three equal angles at the corner fill a full turn: . (Check: )
Answer: D) 120°
A floor is tiled with identical regular hexagons with no gaps. At the orange corner exactly three tiles (coloured) meet. What is the size of each interior angle of a regular hexagon, marked ?
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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