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# Line segments MN intersects line XY at point P and line segment AB int

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Math Expert
Joined: 02 Sep 2009
Posts: 49231
Line segments MN intersects line XY at point P and line segment AB int  [#permalink]

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29 Aug 2018, 01:26
00:00

Difficulty:

35% (medium)

Question Stats:

88% (00:43) correct 13% (01:06) wrong based on 16 sessions

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Line segments MN intersects line XY at point P and line segment AB intersects XY at point C. What is the measure of angle ACY?

(1) MN is parallel to AB
(2) MPY is 108°.

Attachment:

image003.jpg [ 2.55 KiB | Viewed 225 times ]

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Re: Line segments MN intersects line XY at point P and line segment AB int  [#permalink]

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29 Aug 2018, 03:52
Bunuel wrote:

Line segments MN intersects line XY at point P and line segment AB intersects XY at point C. What is the measure of angle ACY?

(1) MN is parallel to AB
(2) MPY is 108°.

Attachment:
image003.jpg

Question stem:- $$\angle{ACY}=?$$

St1:- MN is parallel to AB
We need at least one of the measures of the angles at the intersection of 3 lines.
Insufficient.

St2:- MPY is 108°.
No relationship between line AB and MN is provided.
Insufficient.

Combined, we have MN || AB
Note:- Corresponding angles formed by 2 parallel lines(MN & AB) and its transversal(here XY) are equal.
So, $$\angle{ACY}=\angle{MPY}=108°$$.
Sufficient

Ans. (C)
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Re: Line segments MN intersects line XY at point P and line segment AB int &nbs [#permalink] 29 Aug 2018, 03:52
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