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Gyaan Maths
CBSE · Class 6-10
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CBSE Maths · Class 8

Chapter 3: Understanding Quadrilaterals

Name: ________________________
Date: ______________
Marks: ____ / 10

Types of quadrilaterals; angle sum; parallelogram, rhombus, rectangle, square, kite.

Questions

  1. Sum of interior angles of a pentagon.
  2. In a parallelogram ABCDABCD, ∠A=65∘\angle A = 65^\circ. Find ∠B\angle B.
  3. Each exterior angle of a regular polygon is 30∘30^\circ. Number of sides?
  4. Sum of interior angles of a pentagon.
  5. Each exterior angle of a regular octagon.
  6. Diagonals of a rhombus are ___.
  7. Sum of exterior angles of any polygon.
  8. Adjacent angles of a parallelogram are (3x)∘(3x)^\circ and (2x+30)∘(2x+30)^\circ: find xx.
  9. Each interior angle of a regular hexagon.
  10. Number of diagonals of a quadrilateral.

Extra Practice (Optional)

  • Diagonals of a rhombus bisect at what angle?
  • Is every rectangle a parallelogram?
  • Sum of exterior angles of a regular hexagon?

Answer Key (For Teachers)

  1. Answer: 540∘540^\circ.
    Working: (5−2)⋅180(5-2)\cdot 180.
  2. Answer: 115∘115^\circ.
    Working: Adjacent angles supplementary.
  3. Answer: 1212.
    Working: 360/30360/30.
  4. Answer: 540∘540^\circ
    Working: (n−2)⋅180(n-2)\cdot 180.
  5. Answer: 45∘45^\circ
    Working: 360/8360/8.
  6. Answer: Perpendicular.
    Working: Perpendicular and bisect.
  7. Answer: 360∘360^\circ
    Working: Always 360∘360^\circ.
  8. Answer: x=30x = 30
    Working: Sum 180180.
  9. Answer: 120∘120^\circ
    Working: (6−2)⋅180/6(6-2)\cdot 180/6.
  10. Answer: 22
    Working: n(n−3)/2=2n(n-3)/2 = 2.
Gyaan Maths · CBSE Class 8 · Chapter 3
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026