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In the figure shown above, what is x?

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In the figure shown above, what is x? [#permalink] New post 27 Sep 2017, 14:14
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Attachment:
lines.jpg
lines.jpg [ 15.31 KiB | Viewed 789 times ]


In the figure shown above, what is x?

A 40

B 50

C 60

D 70

E 80
[Reveal] Spoiler: OA

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Re: In the figure shown above, what is x? [#permalink] New post 27 Sep 2017, 23:30
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Carcass wrote:
Attachment:
The attachment lines.jpg is no longer available


In the figure shown above, what is x?

A 40

B 50

C 60

D 70

E 80


Since PQ = ST AND RQ=RS

Therefore the two line have to be parallel.

Now if we consider triangle RQS , given angle r = 80°. but since RQ=RS

then angle Q = angle S= 50° (equal sides have equal angles)

Therefore angle X = 50° (since S and X are corresponding angles and are thus congruent which means angle X is 50°.)
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Re: In the figure shown above, what is x?   [#permalink] 27 Sep 2017, 23:30
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In the figure shown above, what is x?

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