In the diagram above O is the centre of the cir... - JAMB Mathematics 2005 Question
In the diagram above, O is the centre of the circle, If < UOT = 70o and < RST = 100o. Calculate < RUO
A
20o
B
25o
C
50o
D
80o
correct option: b
< OUT = < OTU
< OUT = \(\frac{180^o - 70^o}{2} = \frac{110^o}{2} = 55^o\)
< RUT = 180o - 100o = 80o
< RUO = < RUT - < OUT
= 80o - 55o
= 25o
< OUT = \(\frac{180^o - 70^o}{2} = \frac{110^o}{2} = 55^o\)
< RUT = 180o - 100o = 80o
< RUO = < RUT - < OUT
= 80o - 55o
= 25o
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