A, B, C and D lie on c circle centre O. AC is a diameter of the circle.
AD, BE and CF are parallel lines. Angle ABE = 48 and
angle ACF = 126 .
( b ) angle EBC
Since AD, BE and CF are parallel lines, we can see that angle BEC = 126 (corresponding angles with angle ACF).
Now, in triangle BEC, angles BEC and BCE are equal (since they are corresponding angles). Therefore, angle EBC = 180 - BEC - BCE = 180 - 126 - 48 = 6 degrees.
Therefore, angle EBC = 6 degrees.