- A75°
- B105°
- C90°
- D285°
Step-by-Step Solution
Opposite angles of a parallelogram are equal. ∠A and ∠C are opposite. So ∠C = 75°.
Answer: A) 75°
In a parallelogram ABCD, ∠A = 75°. Find ∠C.
Class 8Understanding QuadrilateralsQuadrilaterals
Key idea: Special parallelograms — extra properties
**Rectangle**: parallelogram + all angles 90°. Extra: diagonals are equal in length.
**Rhombus**: parallelogram + all sides equal. Extra: diagonals are perpendicular AND bisect the angles at each vertex.
**Square**: parallelogram + all angles 90° + all sides equal. Has both extras: equal AND perpendicular AND angle-bisecting diagonals.
Knowing the family tree saves you memorising overlapping rules — a square inherits everything from rectangle AND rhombus.
**Rhombus**: parallelogram + all sides equal. Extra: diagonals are perpendicular AND bisect the angles at each vertex.
**Square**: parallelogram + all angles 90° + all sides equal. Has both extras: equal AND perpendicular AND angle-bisecting diagonals.
Knowing the family tree saves you memorising overlapping rules — a square inherits everything from rectangle AND rhombus.
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More Class 8 Understanding Quadrilaterals practice
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