Question

In a Parallelogram PQRS ˪P=45 degree find the value of other angles.(Apply Parallelogram Property)

Answer 1

Here,

∠P = 45°

∴ ∠R = ∠P [Opposite angles are equal]

⇒ ∠R = 45°

Similarly,

∠S = ∠Q [Opposite angles are equal]

We know, sum of interior angles of one side of a ||gm = 180°

∴ ∠P + ∠Q = 180°

⇒∠Q = 180° - ∠P ⇒∠Q = 180° - 45°

⇒∠Q = ∠S = 135°

Answer 2

Answer :

∠P = 45°, ∠Q = 135°, ∠R = 45°, ∠S = 135°

Solution :

In a parallelogram PQRS,

∠P = 45°

∠R = ∠P = 45° [opposite angles of a parallelogram are equal]

∠P + ∠Q = 180° [sum of adjacent angles of a parallelogram is 180°]

∠Q = 180 - 45

∠Q = 135°

∠S = ∠Q = 135°

∴ ∠P = 45°, ∠Q = 135°, ∠R = 45°, ∠S = 135°

⠀