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Problem of the Week
Problem E
Slice of an Arc

Points \(A\), \(B\), and \(D\) lie on the circumference of a circle with centre \(C\).

If \(\angle ADB=x\degree\), then determine the measure of \(\angle ACB\) in terms of \(x\).

An illustration where the points A, B, and D
all lie on the same half of the circle with centre C. Moving
counterclockwise, the points are in the order A, B, D. Lines join A and
B to C and join A and B to D.