In a parallelogram PQRS, where vertices are taken in order; if ∠P = 60°, then what are the respective measures of ∠Q and ∠R?

We know that in a parallelogram, the pair of opposite angles are equal.I.e., ∠P = ∠R and ∠Q = ∠S

It is given that ∠P = 60°.

∴∠R = 60°

Sum of the angles of a quadrilateral is 360°.

∴ ∠P + ∠Q + ∠R + ∠S = 360°

∠P + ∠Q + ∠R +∠Q = 360° [Since ∠Q = ∠S]

60° + 60° + 2∠Q = 360°

∴ 2∠Q = 240°

∴ ∠Q = 120°

Thus, ∠Q = 120° and ∠R = 60°.