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angle pos is equal to the angle qos because angle por and Angle qor is same
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Given :-
OR is the bisector of /_POQ
To prove :-
/_POS = /_QOS
Solution :-
As QR is the bisector of /_POQ
Thus, /_QOR = /_POR —(1)
Now, /_SOQ + /_QOR = 180° —(2)
Also, /_SOP + /_POR = 180° —(3)
from (2) & (3),
/_SOQ + /_QOR = /_SOP + /_POR
/_SOQ = /_SOP (from (1))
Or, /_POS = /_QOS
Hence proved
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