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# In the figure above, three right triangles have a common vertex. Then

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Math Expert
Joined: 02 Sep 2009
Posts: 54376
In the figure above, three right triangles have a common vertex. Then  [#permalink]

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27 Jul 2017, 01:48
00:00

Difficulty:

15% (low)

Question Stats:

90% (00:24) correct 10% (00:16) wrong based on 45 sessions

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In the figure above, three right triangles have a common vertex. Then x + y + z =

(A) 90
(B) 120
(C) 135
(D) 180
(E) 270

Attachment:

2017-07-27_1246.png [ 11.4 KiB | Viewed 887 times ]

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Re: In the figure above, three right triangles have a common vertex. Then  [#permalink]

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27 Jul 2017, 01:57
Bunuel wrote:

In the figure above, three right triangles have a common vertex. Then x + y + z =

(A) 90
(B) 120
(C) 135
(D) 180
(E) 270

Attachment:
2017-07-27_1246.png

x+y+z + 3*90 = 360 (sum of all the angles around a point is 360 degrees )
=> x+y+z = 90

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Re: In the figure above, three right triangles have a common vertex. Then  [#permalink]

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27 Jul 2017, 02:25
360 -270. Because total is 360 and the sum of the right angles is 90+90+90.

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Re: In the figure above, three right triangles have a common vertex. Then  [#permalink]

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27 Jul 2017, 03:46
Bunuel wrote:

In the figure above, three right triangles have a common vertex. Then x + y + z =

(A) 90
(B) 120
(C) 135
(D) 180
(E) 270

Attachment:
2017-07-27_1246.png

90*3 = 270
360-270 = 90
A
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Re: In the figure above, three right triangles have a common vertex. Then   [#permalink] 27 Jul 2017, 03:46
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