WAEC - Mathematics (2009 - No. 42)

in the diagram, angle 20º is subtended at the centre of the circle, find the value of x

30^o

50^o

80^o

100^o

2(30 + x) = 360 - 200

60 + 2x = 160

2x = 160 - 60

2x = 100

x = \(\frac{100}{2}\)

x = 50