It is currently 21 Aug 2019, 11:53

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

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

Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 7744
Followers: 143

Kudos [?]: 1593 [0], given: 7034

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

Question Stats:

47% (00:24) correct 52% (00:21) wrong based on 19 sessions
Attachment:

#GREpracticequestion In the figure, ∆ABC is inscribed.jpg [ 25.86 KiB | Viewed 1329 times ]

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

_________________
Intern
Joined: 21 Mar 2019
Posts: 2
Followers: 0

Kudos [?]: 1 [0], given: 0

Re: In the figure, ∆ABC is inscribed in the circle. The triangl [#permalink]  27 Mar 2019, 09:33
can any post an explanation?
Founder
Joined: 18 Apr 2015
Posts: 7744
Followers: 143

Kudos [?]: 1593 [0], given: 7034

Re: In the figure, ∆ABC is inscribed in the circle. The triangl [#permalink]  27 Mar 2019, 11:46
Expert's post
An angle inscribed in a semicircle is a right angle: this is a theorem; Thales to be precise

Attachment:

anglessimiG.gif [ 5.29 KiB | Viewed 1231 times ]

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

So, $$x = \angle > 90°$$

_________________
Re: In the figure, ∆ABC is inscribed in the circle. The triangl   [#permalink] 27 Mar 2019, 11:46
Display posts from previous: Sort by