In the given figure, PQRS is a parallelogram. Find the values of a and b.
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Answer:
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
.
Step-by-step explanation:
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