Question

In the given figure,PQRS is a paralellogram,find x and y

Answer 1

Answer:

X= 4° Y=3°

Step-by-step explanation:

PS II QR & SQ is a transversal

Angle PSQ= Angle SQR

9y= 27°

y=27/9

y=3°

Similarly,

PQ II SR & SQ is a transversal

Angle QSR= Angle PQS

8x= 32°

x=32/8

x= 4°

Hope It Helps

Answer 2

Given

✭ ∠PQS = 32°

✭ ∠RQS = 27°

✭ ∠RSQ = 8x

✭ ∠PSQ = 9y

✭ PQRS is a parallelogram

To Find

◈ Values of x & y?

Solution

Concept

»» Opposite Angles of a parallelogram are equal

»» Alternate angles are equal if two lines are parallel and a transversal passes them

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So we may see that,

➝ ∠PSQ = ∠SQR «« Alternate angles »»

➝ 9y = 27°

➝ y = 27/9

➝ y = 3

Similarly,

➳ ∠RSQ = ∠SQP «« Alternate angles »»

➳ 8x = 32°

➳ x = 32/8

➳ x = 4

Verification

»» ∠RQP = ∠PSR «« Opposite Angles »»

»» 27°+32° = 8(4)+9(3)

»» 59° = 59°

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