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# Points A, B, C, D lie in this order on the circumference of a circle.

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Math Expert
Joined: 02 Sep 2009
Posts: 51185
Points A, B, C, D lie in this order on the circumference of a circle.  [#permalink]

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07 Sep 2016, 03:28
1
6
00:00

Difficulty:

85% (hard)

Question Stats:

46% (01:21) correct 54% (01:13) wrong based on 109 sessions

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Points A, B, C, D lie in this order on the circumference of a circle. Minor arc AC is 160°, and minor arc BD is 140°. If B bisects minor arc AC, then what is the measure of minor arc AD?

A. 80°
B. 120°
C. 140°
D. 160°
E. 220°

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Re: Points A, B, C, D lie in this order on the circumference of a circle.  [#permalink]

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07 Sep 2016, 04:34
2
Bunuel wrote:
Points A, B, C, D lie in this order on the circumference of a circle. Minor arc AC is 160°, and minor arc BD is 140°. If B bisects minor arc AC, then what is the measure of minor arc AD?

A. 80°
B. 120°
C. 140°
D. 160°
E. 220°

B bisects minor arc AC means Arc BC is 80 degrees. Now , we have arc BD = 140, therefore CD = 60.

Now, Arc AC = 160 , CD = 60 => Arc AD = 360-220 = 140
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Re: Points A, B, C, D lie in this order on the circumference of a circle.  [#permalink]

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03 Dec 2018, 04:42
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Re: Points A, B, C, D lie in this order on the circumference of a circle. &nbs [#permalink] 03 Dec 2018, 04:42
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