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A FRIEND IN NEED IS A FRIEND INDEED ☺️
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Step-by-step explanation:
Hai friends,
Here is ur ans;
Let's extend ray PQ backwards till T.
Now ,
angle TOP + angle POQ = 180 degree ( Linear pair )...... (i)
Also ,
angle TOS+ angle SOR + angle QOR =360 degree (Linear pair)....(ii)
Adding (i) and (ii)
angle TOP + angle POQ + angle TOS + angle SOR + angle QOR =360 degree
But angle TOP + angle TOS = angle POS
Therefore , angle POQ + angle QOR+angle SOR +angle POS=360 degree.
Hence proved .
Thank you.
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