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In the figure below, AB is the chord of a circle...

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In the figure below, AB is the chord of a circle...

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In the figure below, AB is the chord of a circle with center O. AB is extended to C such that BC = OB. The straight line CO is produced to meet the circle at D. If ACD = y degrees and AOD = x degrees such that x = ky, then the value of k is?


A. 3
B. 2
C. 1
D. None of the above

The OA is A.

I'm really confused by this PS question. Experts, any suggestion about how can I solve it? Thanks in advance.

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LUANDATO wrote:
In the figure below, AB is the chord of a circle with center O. AB is extended to C such that BC = OB. The straight line CO is produced to meet the circle at D. If ACD = y degrees and AOD = x degrees such that x = ky, then the value of k is?


A. 3
B. 2
C. 1
D. None of the above

The OA is A.

I'm really confused by this PS question. Experts, any suggestion about how can I solve it? Thanks in advance.
This question is a variation on an official problem. I'd suggest going through this thread and then reattempting: https://www.beatthegmat.com/geometry-ds-gmatprep-t117171.html#507922

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