Practice30Create account

In parallelogram ABCD, ∠A = 120°. Find ∠B in degrees.

Class 8Understanding QuadrilateralsQuadrilaterals
  • A54
  • B60
  • C66
  • D120

Step-by-Step Solution

∠A and ∠B are consecutive (adjacent) angles, so they are supplementary. ∠B = 180 − 120 = 60°.
Answer: B) 60

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.

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

Which property is NOT necessarily true for every parallelogram?In parallelogram ABCD, side AB = 8 cm. What is the length of side CD?The diagonals of a parallelogram bisect each other. If one diagonal is 14 cm, each half…Assertion (A): A square is a rectangle. Reason (R): A rectangle is a parallelogram with…Two adjacent angles of a parallelogram are equal. What is the measure of each, in degrees?