Question

In parallelogram PQRS, m∠Q = 130°. Find the measure of the other angles of □PQRS.

Answer 1

For parallelogram PQRS, m$\angle$Q = 130°.
m$\angle$Q = m$\angle$S (Opposite angles of a parallelogram are congruent)
m$\angle$S = 130°
m$\angle$Q + m$\angle$R = 180° (Sum of adjacent angles of a parallelogram is 180°, as they are on the same side of the transversal.)
m$\angle$R = 180° – 130° = 50°
m$\angle$P = m$\angle$R = 50° (Opposite angles of a parallelogram are congruent)
m$\angle$S = 130°
m$\angle$R = m$\angle$P = 50°