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Reflex angle ∠UOS is 220°.
Step-by-step explanation:
We know that ∠UOT = 80° (Vertically opposite angle)
Thus, we can conclude that ∠UOS = ∠UOT + ∠TOS
So, ∠UOS = 80 + 60 = 140°
We know that the total measure of angles around a point is 360°.
So, if we have to find the reflex angle ∠UOS, we must subtract it from 360°.
Therefore, reflex angle ∠UOS = 360 - 140 = 220°
I hope this helps!!
Regards,
Lilac584
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