Question

PQRS is a parallelogram; find the values of ‘x’ and ‘y’.

Answer 1

Answer:

X=12 y=9

Step-by-step explanation:

Because you know when two parallel lines are cut by a transversal, alternate interior angles are equal, x=48/4, y=63/7.

Basically, angle sqr is equal to angle qsp because alternate interior angles.

Similarly, angle pqs is equal to angle qsr.

4x=48

X= 12

7y=63

Y=9

Answer 2

Answer :

We know that :

• ∠PSQ = ∠SQR (Alternate Interior angles)
• 63° = 7y
• 7y = 63
• y = $\bf{{\dfrac{63}{7}}}$
• y = 9

Also :

• ∠RSQ = ∠PQS
• 48° = 4x
• 4x = 48
• x = $\bf{{\dfrac{48}{4}}}$
• x = 12

$\therefore$ Required answer :

• x = 12
• y = 9