Question

It is given that △PQR≅△MNO and PQ=6cm,∠Q=50° and ∠P=70° then which of the following is true 



MN=6cm, ∠M=60°

MN=6cm, ∠O=60°

ON=6cm, ∠O=60°

OM=6cm, ∠N=40°

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Answer 1

Answer:

50

Step-by-step explanation:

Answer 2

Answer:

Given that:

QP=8cm,PR=6cm and SR=3cm

(I)  In △PQR and △SPR

∠PRQ=∠SRP  (Common angle)

∠QPR=∠PSR   (Given that)

∠PQR=∠PSR   (Properties of triangle )

∴△PQR∼△SPR  (By AAA)

(II)   SPPQ=PRQR=SRPR  (Properties of similar triangles)

⇒SP8cm=3cm6cm

⇒SP=4cm and 

⇒6cmQR=3cm6cm

⇒QR=12cm

(III)ar(△SPR)ar(△PQR)=SP2PQ2=4282=4