Question

-]
2. In the given figure PQRS is a 2 points
parallelogram. Find the values
of x and y.
s
R.
8x
9y
27°
32°X
Q
Р
1. Add file​

Answer 1

Step-by-step explanation:

PQRS is a parallelogram.

PQ∥SR and SQ is a transversal.

∴ ∠RSQ=∠PQS [ Alternate angles ]

⇒ 48

o

=4x

⇒ x=

4

48

o

⇒ x=12

o

SP∥RQ and SQ is transversal.

∴ ∠PSQ=∠RQS [ Alternate angles ]

⇒ 63

o

=7y

⇒ y=

7

63

o

⇒ y=9

o

∴ The values of x and y are 12

o

and 9

o

.