Find the values of ‘x’, ‘y’, ‘a’ and ‘b’, with reasons, in the following figure where
PQRS is a parallelogram. PQ = 5x – 8 and RS = x + 6.
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Step-by-step explanation:
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
.
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