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In circle C, is a diameter, and the measure of central angle BCD is 3
[#permalink]
18 Sep 2021, 00:43
18 Sep 2021, 00:43
Expert Reply
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Question Stats:
46% (02:45) correct
53% (02:48) wrong based on 15 sessions
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GRE In circle C.jpg [ 17.89 KiB | Viewed 2382 times ]
In circle C, \( \overline{AD}\) is a diameter, and the measure of central angle BCD is 3x° + 10°, of central angle DCE is 2x°, and of central angle ACE is x° + 90°.
Quantity A |
Quantity B |
The degree measure of minor arc \(\widehat{AB}\) |
85 degrees |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: In circle C, is a diameter, and the measure of central angle BCD is 3
[#permalink]
18 Sep 2021, 11:25
18 Sep 2021, 11:25
2
Carcass wrote:
Attachment:
GRE In circle C.jpg
In circle C, \( \overline{AD}\) is a diameter, and the measure of central angle BCD is 3x° + 10°, of central angle DCE is 2x°, and of central angle ACE is x° + 90°.
Quantity A |
Quantity B |
The degree measure of minor arc \(\widehat{AB}\) |
85 degrees |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Since AD is the diameter, \(\angle{ACE} + \angle{CDE} => x + 90° + 2x = 180° => x = 30°\)
So \( \angle{ACB} = 180° - 3x -10° = 180° - 90° -10° = 80°\)
Quantity B is larger, Answer is B)
gmatclubot
Re: In circle C, is a diameter, and the measure of central angle BCD is 3 [#permalink]
18 Sep 2021, 11:25
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