Please see the attachment below. The question stated:
In the figure shown, point O is the center of the semicircle and points B, C, and D lie on the semicircle. If the length of line segment AB is equal to the length of line segment OC, what is the degree measure of angle BAO?
1) The degree measure of angle COD is 60 deg
2) The degree measure of angle BCO is 40 deg
Statement 1 is sufficient
Statement 2 is sufficient
Both are sufficient
Each is sufficient alone
1 and 2 are not sufficient
The credited response is D (each statement is sufficient).. but I can't for the life of me figure out why/how. Any thoughts?
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well i stared at it for a bit longer, and I can see how 1 is sufficient (it tells you the length of the small arc CD, and you can calculate BAO from that.
But I still can't understand how 2 is sufficient. I know that giving you BCO will fully define the triangle BCO. But how do you get from there to solving for BAO?
In the figure shown, point O is the center of the semicircle and points B, C, and D lie on the semicircle. If the length of line segment AB is equal to the length of line segment OC, what is the degree measure of angle BAO?
1) The degree measure of angle COD is 60 deg
2) The degree measure of angle BCO is 40 deg
Statement 1 is sufficient
Statement 2 is sufficient
Both are sufficient
Each is sufficient alone
1 and 2 are not sufficient
The credited response is D (each statement is sufficient).. but I can't for the life of me figure out why/how. Any thoughts?
-
well i stared at it for a bit longer, and I can see how 1 is sufficient (it tells you the length of the small arc CD, and you can calculate BAO from that.
But I still can't understand how 2 is sufficient. I know that giving you BCO will fully define the triangle BCO. But how do you get from there to solving for BAO?
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