Question

In OP,OQ, OR and OS are four rays. Prove that angle POQ+ angle QOR+ angle SO+ angle POS=360°
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Answer 1

poq+pos=180 [linear pair ]-1

roq+sor=180 [linear pair]-2

therefore,

by adding 1and2

[pos+poq]+[qor+sor]=180+180

pos+poq+qor+sor=360

Answer 2

Answer:

POQ + QOR = 180°{Linear Pair}

ROQ + SOR = 180°{Linear Pair}

Hence POQ + QOR + ROQ + SOR =  180 + 180 = 360°

Hence Proved