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# In the above figure, 3 line segments meet line m. If r = 110, s = 75

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Math Expert
Joined: 02 Sep 2009
Posts: 55277
In the above figure, 3 line segments meet line m. If r = 110, s = 75  [#permalink]

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28 Jul 2017, 00:39
00:00

Difficulty:

25% (medium)

Question Stats:

100% (01:02) correct 0% (00:00) wrong based on 11 sessions

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In the above figure, 3 line segments meet line m. If r = 110, s = 75 and t = 40, then x + y + z =

(A) 145
(B) 180
(C) 225
(D) 270
(E) 315

Attachment:

2017-07-28_1137.png [ 5.42 KiB | Viewed 855 times ]

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Re: In the above figure, 3 line segments meet line m. If r = 110, s = 75  [#permalink]

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28 Jul 2017, 00:47
Bunuel wrote:

In the above figure, 3 line segments meet line m. If r = 110, s = 75 and t = 40, then x + y + z =

(A) 145
(B) 180
(C) 225
(D) 270
(E) 315

Attachment:
2017-07-28_1137.png

180-110 + 180-75 + 180-40 = 70 + 105 + 140 = 315

E
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Re: In the above figure, 3 line segments meet line m. If r = 110, s = 75  [#permalink]

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28 Jul 2017, 01:00
Bunuel wrote:

In the above figure, 3 line segments meet line m. If r = 110, s = 75 and t = 40, then x + y + z =

(A) 145
(B) 180
(C) 225
(D) 270
(E) 315

Attachment:
2017-07-28_1137.png

$$r° + x° = 180°$$

$$r° = 110°$$

$$x° = 180 - 110 = 70°$$

$$s° + y° = 180°$$

$$s° = 75°$$

$$y° = 180 - 75 = 105°$$

$$t° + z° = 180°$$

$$t° = 40°$$

$$z° = 180 - 40 = 140°$$

$$x + y + z = 70 + 105 + 140 = 315$$

Re: In the above figure, 3 line segments meet line m. If r = 110, s = 75   [#permalink] 28 Jul 2017, 01:00
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