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In the figure, ∆ABC is inscribed in the circle. The triangl

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In the figure, ∆ABC is inscribed in the circle. The triangl [#permalink] New post 24 Mar 2019, 00:29
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Question Stats:

47% (00:24) correct 52% (00:21) wrong based on 19 sessions
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In the figure, \(∆ABC\) is inscribed in the circle. The triangle does not contain the center of the circle O.

Quantity A
Quantity B
x
90


Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: In the figure, ∆ABC is inscribed in the circle. The triangl [#permalink] New post 27 Mar 2019, 09:33
can any post an explanation?
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Re: In the figure, ∆ABC is inscribed in the circle. The triangl [#permalink] New post 27 Mar 2019, 11:46
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An angle inscribed in a semicircle is a right angle: this is a theorem; Thales to be precise

Attachment:
anglessimiG.gif
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However, when the chord DOES NOT pass through the center of the circle that 90° angle becomes obtuse, which means > 90°.

So, \(x = \angle > 90°\)


A is the answer
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Re: In the figure, ∆ABC is inscribed in the circle. The triangl   [#permalink] 27 Mar 2019, 11:46
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In the figure, ∆ABC is inscribed in the circle. The triangl

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