- A24
- B12
- C17
- D15
Step-by-Step Solution
All exterior angles of a regular polygon are equal and add up to , so the number of sides is .
Answer: D) 15
The picture shows a few sides of a regular polygon. One side is extended (dashed), and the exterior angle there is 24°. How many sides does the whole polygon have?
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°.
Master this chapter in 30 minutes a day.
Don't just memorise the answer — build a daily practice habit.
Practice 5 Similar Questions Free →All Understanding Quadrilaterals practice questions
More Class 8 Understanding Quadrilaterals practice
ABCD is a parallelogram (arrow marks show AB ∥ DC). ∠A = (3x + 10)° and ∠C = (5x − 30)°.…The diagonals of parallelogram PQRS meet at O. PO = (y + 4) cm and OR = (2y − 3) cm.…ABCD is a rhombus with each side 13 cm, drawn to scale. Its diagonal AC is 24 cm. Find…PQRS is a rectangle and its diagonals meet at O. The diagonal QS is 13 cm long. Find the…ABCD is a kite: the tick marks show AB = AD and CB = CD. ∠A = 80° and ∠C = 50°. Find the…