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In a parallelogram ABCD, ∠B = 120°. What is the measure of ∠D (in degrees)?

Class 9QuadrilateralsGeometry — Quadrilaterals
  • A110
  • B120
  • C240
  • D130

Step-by-Step Solution

∠B and ∠D are opposite angles of the parallelogram, so they are equal. ∠D = 120°.
Answer: B) 120

Key idea: Special parallelograms

**Rectangle** (parallelogram + all angles 90°):
- All properties of a parallelogram.
- Diagonals are EQUAL (in addition to bisecting each other).

**Rhombus** (parallelogram + all sides equal):
- All properties of a parallelogram.
- Diagonals bisect each other AT RIGHT ANGLES.
- Diagonals also bisect the angles of the rhombus.

**Square** (rectangle + rhombus):
- All properties of both.
- Diagonals: equal, bisect at right angles, AND bisect angles.

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