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In the figure, what is the value of angle x ?
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24 Mar 2019, 09:59
24 Mar 2019, 09:59
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Question Stats:
91% (00:30) correct
8% (00:15) wrong based on 12 sessions
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In the figure, what is the value of angle x ?
(A) \(x > 45˚\)
(B) \(x < 45˚\)
(C) \(x = 45˚\)
(D) \(x ≥ 45˚\)
(E)It cannot be determined from the information given
Re: In the figure, what is the value of angle x ?
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11 Apr 2020, 11:12
11 Apr 2020, 11:12
Expert Reply
We know about triangle ABC is that it is a triangle inscribed in a circle. None of its angles can be found out from this information alone. All triangles have a circumcircle so the measure of x could be anything.
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Re: In the figure, what is the value of angle x ?
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26 Sep 2022, 02:55
26 Sep 2022, 02:55
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I'd further this by suggesting that the only thing we could really tell about that angle is a speculative case where the distance AC is actually a diameter. In that case, we can tell that the angle at B (touching the edge of the circle) is actually a right angle. However, even in this case, the angles at A and C could be anything less than 90 (as long as A and C add up to 90).
Given that we don't know that AC is a diameter, we don't even have that much information.
There really is basically nothing to be done here; Answer E.
Given that we don't know that AC is a diameter, we don't even have that much information.
There really is basically nothing to be done here; Answer E.
