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In the figure above, if m and n are parallel, then x=?

This topic has 3 expert replies and 0 member replies

In the figure above, if m and n are parallel, then x=?

Post Tue Nov 07, 2017 1:46 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    ttps://postimg.org/image/6p6rhgzxor/" target="_blank">
    In the figure above, if m and n are parallel, then x=?

    (A) 30
    (B) 50
    (C) 70
    (D) 105
    (E) 210

    The OA is C.

    Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer.

    Because m is parallel to n we know that x = 2x -30

    Now we just solve for x and we get x = 30.

    Answer should be A, right? Thanks.

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    Post Tue Nov 07, 2017 1:49 pm
    AAPL wrote:
    ttps://postimg.org/image/6p6rhgzxor/" target="_blank">
    In the figure above, if m and n are parallel, then x=?

    (A) 30
    (B) 50
    (C) 70
    (D) 105
    (E) 210

    The OA is C.

    Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer.

    Because m is parallel to n we know that x = 2x -30

    Now we just solve for x and we get x = 30.

    Answer should be A, right? Thanks.
    You are correct; the answer SHOULD be A (since we know that x = 2x - 30, and the solution is x = 30)

    What's the source of this question?

    Cheers,
    Brent

    _________________
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    Use our video course along with Beat The GMAT's free 60-Day Study Guide

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    Post Tue Nov 07, 2017 2:16 pm
    AAPL wrote:
    ttps://postimg.org/image/6p6rhgzxor/" target="_blank">
    In the figure above, if m and n are parallel, then x=?

    (A) 30
    (B) 50
    (C) 70
    (D) 105
    (E) 210

    The OA is C.

    Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer.

    Because m is parallel to n we know that x = 2x -30

    Now we just solve for x and we get x = 30.

    Answer should be A, right? Thanks.
    Hi AAPL,
    Let's take a look at your question.

    Lines m and n are parallel. The angles x and (2x - 30) are called corresponding angles.
    When two parallel lines are cut by another line then the corresponding angles formed are always congruent.

    Therefore,
    x = 2x - 30
    2x - x = 30
    x = 30

    Therefore, Option A is correct.

    Hope its helps.
    I am available if you'd like any follow up.

    _________________
    GMAT Prep From The Economist
    We offer 70+ point score improvement money back guarantee.
    Our average student improves 98 points.

    Thanked by: AAPL
    Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now.
    Post Tue Nov 07, 2017 2:16 pm
    AAPL wrote:
    ttps://postimg.org/image/6p6rhgzxor/" target="_blank">
    In the figure above, if m and n are parallel, then x=?

    (A) 30
    (B) 50
    (C) 70
    (D) 105
    (E) 210

    The OA is C.

    Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer.

    Because m is parallel to n we know that x = 2x -30

    Now we just solve for x and we get x = 30.

    Answer should be A, right? Thanks.
    Hi AAPL,
    Let's take a look at your question.

    Lines m and n are parallel. The angles x and (2x - 30) are called corresponding angles.
    When two parallel lines are cut by another line then the corresponding angles formed are always congruent.

    Therefore,
    x = 2x - 30
    2x - x = 30
    x = 30

    Therefore, Option A is correct.

    Hope its helps.
    I am available if you'd like any follow up.

    _________________
    GMAT Prep From The Economist
    We offer 70+ point score improvement money back guarantee.
    Our average student improves 98 points.

    Thanked by: AAPL
    Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now.

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