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in figure 10 point 43 pop q r and s are four aise prove that PQ + q r + s o h + iOS equals to 360 degree​

Answer»

ANSWER:

LET,extend RAY OQ backwards till T

⇒ Now, ∠TOP+∠POQ=180

o

[ Linear PAIR ] --- ( 1 )

⇒ ∠TOS+∠SOR+∠QOR=180

o

[ Linear pair ] ----- ( 2 )

Adding equation ( 1 ) and ( 2 ),

⇒ ∠TOP+∠POQ+∠TOS+∠SOR+∠QOR=360

o

Since, ∠TOP+∠TOS=∠POS

∴ ∠POQ+∠OR+∠SOR+∠POS=360

o

--- Hence proved


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