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In the figure above, x =

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Joined: 02 Sep 2009
Posts: 43335

Kudos [?]: 139533 [0], given: 12794

In the figure above, x = [#permalink]

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New post 08 Aug 2017, 09:34
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

83% (00:36) correct 17% (00:27) wrong based on 23 sessions

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Kudos [?]: 139533 [0], given: 12794

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D
Joined: 26 Feb 2016
Posts: 1809

Kudos [?]: 830 [0], given: 22

Location: India
Concentration: General Management, Leadership
WE: Sales (Retail)
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Re: In the figure above, x = [#permalink]

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New post 08 Aug 2017, 10:16
Image

In the right angled triangle with 35 degree angle, the third angle is 180 - 90 - 35 = 65

For two intersecting triangles, the angle opposite is 65 degree and the third angle is again 35 degree,
because the triangle is right angled.

Since the sum of angles in a straight line is 180, x + 35 = 180 => x = 180 - 35 = 145(Option D)
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Kudos [?]: 464 [0], given: 683

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In the figure above, x = [#permalink]

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New post 08 Aug 2017, 17:41
Bunuel wrote:
Image
In the figure above, x =

(A) 35
(B) 55
(C) 125
(D) 145
(E) 150

[Reveal] Spoiler:
Attachment:
2017-08-08_2133.png

If any two angles of any two triangles are congruent, the third angle is congruent, and the triangles are similar.

(The AA postulate comes from the fact that interior angles of a triangle always sum to 180. Two of three angles equal means both third angles are equal, too.)

Both triangles have a 90° angle, and congruent vertical angles. The unlabeled third angle of the triangle on the left therefore is 35°. Angle x is on the same straight line as that third angle, so x + 35 = 180.

x = 145

Answer D
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Kudos [?]: 464 [0], given: 683

In the figure above, x =   [#permalink] 08 Aug 2017, 17:41
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