in the figure PQRS is a parallelogram find the values of x and y - Maths - Quadrilaterals

Question

in the figure PQRS is a parallelogram find the values of x and y

Varun.Rawat · Accepted Answer

We have, PQRS as the given parallelogram
So, PQ∥SR and PS∥QR
Since PQ∥SR and SQ is a transversal, then ∠PQS = ∠RSQ      Alternate interior angles⇒15x = 75⇒x = 7515 ⇒x = 5Since PS∥QR and SQ is atransversal, then∠SQR = ∠PSQ     Alternate interior angles⇒3y = 33⇒y = 11

in the figure PQRS is a parallelogram .find the values of x and y.