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# In the figure above, right triangle ABC is circumscribed about a circl

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Math Expert
Joined: 02 Sep 2009
Posts: 55801
In the figure above, right triangle ABC is circumscribed about a circl  [#permalink]

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10 Jan 2019, 02:24
00:00

Difficulty:

25% (medium)

Question Stats:

81% (01:09) correct 19% (01:16) wrong based on 22 sessions

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In the figure above, right triangle ABC is circumscribed about a circle O. If R, S, and T are the three points at which the triangle is tangent to the circle, then what is the value of x + y?

A. 180
B. 210
C. 240
D. 270
E. It cannot be determined from the information given

Attachment:

2019-01-10_1321.png [ 25.94 KiB | Viewed 306 times ]

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In the figure above, right triangle ABC is circumscribed about a circl  [#permalink]

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Updated on: 11 Jan 2019, 01:47
Bunuel wrote:

In the figure above, right triangle ABC is circumscribed about a circle O. If R, S, and T are the three points at which the triangle is tangent to the circle, then what is the value of x + y?

A. 180
B. 210
C. 240
D. 270
E. It cannot be determined from the information given

Attachment:
2019-01-10_1321.png

and x+y+angle ROS = 360
since r,s,t are tangetns to sides ac,ab,cb so they all are at 90* on each side
all center angle would sum up to 270 ; 360-90 = 270 = x+y
IMO D
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Originally posted by Archit3110 on 10 Jan 2019, 05:44.
Last edited by Archit3110 on 11 Jan 2019, 01:47, edited 1 time in total.
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Re: In the figure above, right triangle ABC is circumscribed about a circl  [#permalink]

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10 Jan 2019, 05:57
1
Imo D

X+y =360-90(obtained from square angle at centre of circle, bcz tangent to circle is 90 each and right angle, they all together add to 270 , leaving 90 centre angle of circle)

X+y=270

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Re: In the figure above, right triangle ABC is circumscribed about a circl   [#permalink] 10 Jan 2019, 05:57
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