Math, asked by smartbrain96, 4 months ago

PQRS is a rectangle, ∠POQ=112⁰, find angles , ​

Answers

Answered by AbhinavRocks10
5

Step-by-step explanation:

ANSWER

Here, PQRS is a rectangle.

As we know in rectangle both the diagonals are equal.

⇒ PR=QS

Also diagonals bisect each other.

⇒ PO=QO

⇒ ∠OPQ=∠PQO [ Base angles of an equal sides are also equal ]

⇒ ∠OPQ=24

o

[ Given ]

∴ ∠PQO=24

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In △PQO,

⇒ ∠OPQ+∠PQO+∠QOP=180

o

⇒ 24

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+24

o

+x=180

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⇒ 48

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+x=180

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∴ x=132

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Since, PQRS is a rectangle, PQ∥SR and PR is a transversal.

⇒ ∠QPR=∠SRP [ Alternate angles ]

therefore ∠SRP=24

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⇒ ∠SRP+∠PRQ=90

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[ Angle of an rectangle ]

⇒ 24

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+y=90

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∴ y=66

o

Answered by shaikquadri5566
1

Answer:

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