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From the diagram above find x - JAMB Mathematics 2010 Question

From the diagram above, find x
A
75o
B
65o
C
55o
D
50o
correct option: b

In the diagram above, < STU = < TRS = 25o

(< between tangent to circle and a circle and a chord through the point of contact = < in the alternate segment)

< RTS = 90o

(< in a semicircle = 90o)

xo + < RTS + < STU = 180o

xo + 90o + 25o = 180o

xo + 115o = 180o

xo = 180o - 115o = 65o

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