WAEC - Mathematics (2017 - No. 37)

The diagram shows a circle centre O. if <STR = 29º and < RST = 46º, Calculate the value of <STO.

12\(^o\)
15\(^o\)
29\(^o\)
34\(^o\)

Explanation

SOT = 2 x 46 (< at the centre is twice < at circumference) = 92

2x + 92 = 180( sum of

x = \(\frac{180- 92}{2}\) = 44º

< STO = 44º - 29º

= 15\(^o\)

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