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In the figure shown, what is the value of X ?

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In the figure shown, what is the value of X ? [#permalink] New post 25 Feb 2017, 09:32
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Question Stats:

88% (00:23) correct 11% (02:19) wrong based on 18 sessions


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In the figure shown, what is the value of X ?

X = Enter your value

[Reveal] Spoiler: OA
160

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Re: In the figure shown, what is the value of X ? [#permalink] New post 04 Mar 2017, 18:01
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Explanation

To help with discussion, we have labeled points on the figure.
Image

Start with triangle ACF. Angle A is 90° and angle C is 30°, so angle AFC must be 60° (180° – 90° – 30° = 60°).

Image

If AFC is 60°, then EFD must be 120° (180° – 60° = 120°).

Image

Now you can find angle FDE, which we have called angle z: (180° – 120° – 40° = 20°). If z = 20°, then x = 160°, because x + z = 180°.

Image

Hence x x = 160°.










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Re: In the figure shown, what is the value of X ?   [#permalink] 04 Mar 2017, 18:01
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