Q4 of 32 Page 56

In figure 5.17, OP, OQ, OR and OS are four rays. Prove that

∠POQ + ∠QOR + ∠SOR + ∠POS = 360°


Given.


OP, OQ, OR and OS are four rays


Theory.


Circle possesses over ray is 360°


Solution.


∠POQ + ∠QOR + ∠SOR + ∠POS


Forms out a complete circle on the rays OP, OQ, OR and OS


Taking ray OQ


Its forms out a complete circle


Hence.


⇒ ∠POQ + ∠QOR + ∠SOR + ∠POS = 360°


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