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# In the figure above, point D is in the interior of angle ABC and the

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Math Expert
Joined: 02 Sep 2009
Posts: 55236
In the figure above, point D is in the interior of angle ABC and the  [#permalink]

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19 Jul 2017, 02:55
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Difficulty:

25% (medium)

Question Stats:

81% (01:24) correct 19% (01:39) wrong based on 50 sessions

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Note: Figure not drawn to scale
In the figure above, point D is in the interior of angle ABC and the measure of angle ABD is 3/5 the measure of angle ABC. If y = 24, then x =

(A) 72
(B) 60
(C) 48
(D) 40
(E) 36

Attachment:

2017-07-19_1353.png [ 5.54 KiB | Viewed 3473 times ]

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Joined: 02 Feb 2017
Posts: 20
Re: In the figure above, point D is in the interior of angle ABC and the  [#permalink]

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19 Jul 2017, 02:59
Bunuel wrote:

Note: Figure not drawn to scale
In the figure above, point D is in the interior of angle ABC and the measure of angle ABD is 3/5 the measure of angle ABC. If y = 24, then x =

(A) 72
(B) 60
(C) 48
(D) 40
(E) 36

Attachment:
2017-07-19_1353.png

Angle ABD = 3/5 ( Angle ABC)

So, x= 3/5 (x+24)

5x/3 = x+24
2x/3=24
x= 36

Hence x is 36 degrees.
Re: In the figure above, point D is in the interior of angle ABC and the   [#permalink] 19 Jul 2017, 02:59
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# In the figure above, point D is in the interior of angle ABC and the

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