Question

In parallelogram PQRS, O is the midpoint of SQ. Find

Answer 1

What to find ?..Post the question properly

Answer 2

∠S = 120°

∠R = 60°

PQ = 15 cm

QR =  6 cm

PR = 12 cm

In parallelogram pqrs o is the mid point of SQ find angles S, R, PQ, QR and diagonal PR

∠RQY = 60°

∠PQR + ∠RQY = 180°  ( straight Line)

=> ∠PQR + 60° = 180°

=> ∠PQR = 120°

or simply ∠Q = 120°

in a parallelogram

∠R + ∠Q = 180°

=> ∠R +   120° = 180°

=> ∠R = 60°

∠S + ∠R = 180°

=> ∠S = 120°

PQ = SR = 15 cm  ( opposite sides are equal)

QR = PS = 6 cm

Diagonal bisect

PR = 2 PO = 2 * 6 = 12 cm

PR = 12 cm