In the given figure, OP,OQ,OR and OS are four rays. prove that angle POQ+QOR+DOR+POS=360°
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Answer:
POQ+QOR+SOR+POS=360°
Step-by-step explanation:
Extend ray OQ to point T
TOP+POQ=180°(Linear pair)_____(1)
TOS+SOQ=180°(Linear pair)
SOQ=SOR+QOR
TOS+SOR+QOR=180°______(2)
Add (1) and (2)
TOP+POQ+TOS+SOR+QOR=360°
TOP+TOS=POS
POS+POQ+SOR+QOR=360°
Hence proved
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