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In the figure above, if CAB is a right angle, then x =

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Math Expert
Joined: 02 Sep 2009
Posts: 54368
In the figure above, if CAB is a right angle, then x =  [#permalink]

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05 Sep 2017, 23:40
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Difficulty:

15% (low)

Question Stats:

97% (01:04) correct 3% (00:48) wrong based on 53 sessions

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In the figure above, if CAB is a right angle, then x =

(A) 38
(B) 40
(C) 42
(D) 45
(E) 48

Attachment:

2017-09-06_1033_002.png [ 7.53 KiB | Viewed 863 times ]

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Math Expert
Joined: 02 Aug 2009
Posts: 7556
Re: In the figure above, if CAB is a right angle, then x =  [#permalink]

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06 Sep 2017, 04:03
Bunuel wrote:

In the figure above, if CAB is a right angle, then x =

(A) 38
(B) 40
(C) 42
(D) 45
(E) 48

Attachment:
2017-09-06_1033_002.png

Let the point on BC from A be at D..

So x = 90-(90-42)=42

C
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Re: In the figure above, if CAB is a right angle, then x =  [#permalink]

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11 Sep 2017, 10:59
Bunuel wrote:

In the figure above, if CAB is a right angle, then x =

(A) 38
(B) 40
(C) 42
(D) 45
(E) 48

Attachment:
2017-09-06_1033_002.png

Let the vertex of the right angle on BC be D. We see that angle DAC = 180 - 90 - 42 = 48.

Since angle CAB = 90 and angle DAC = 48, angle BAD = x = 90 - 48 = 42.

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Re: In the figure above, if CAB is a right angle, then x =   [#permalink] 11 Sep 2017, 10:59
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In the figure above, if CAB is a right angle, then x =

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