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In the figure below AOC is a diameter of the circle centre O, AB=BC and #angle# ACD=#25^0#, EBF is a tangent to the circle at B. G is the point on the minor arc CD.
(a) Calculate the size
(i) #angle# BAD
(ii) The obtuse #angle# BOD
(iii) #angle# BGD
(b) Show that #angle#ABE=#angle# CBF