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OG2016 In the figure above, what is the ratio

This topic has 1 expert reply and 1 member reply
boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
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OG2016 In the figure above, what is the ratio

Post Sun May 01, 2016 9:36 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])


    In the figure above, what is the ratio of the measure of angle B to the measure of angle A?

    A) 2 to 3
    B) 3 to 4
    C) 3 to 5
    D) 4 to 5
    E) 5 to 6

    OA: D

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    Post Sun May 01, 2016 1:30 pm
    boomgoesthegmat wrote:


    In the figure above, what is the ratio of the measure of angle B to the measure of angle A?

    A) 2 to 3
    B) 3 to 4
    C) 3 to 5
    D) 4 to 5
    E) 5 to 6

    OA: D
    We know that 3 angles in a triangle add to 180 degrees.
    So, we get: y + (y + 10) + 90 = 180
    Simplify: 2y + 100 = 180
    So: 2y = 80
    y = 40

    So, angle B = 40, and angle A = 50
    So, the ratio of the measure of angle B to the measure of angle A = 40 to 50
    To simplify this ratio, divide both sides by 10 to get: 4 to 5

    Answer: D

    Related Resources
    The following videos cover the concepts/strategies that are useful for answering this question:
    - Intro to ratios: https://www.gmatprepnow.com/module/gmat-arithmetic/video/1081
    - Triangles - Part I: https://www.gmatprepnow.com/module/gmat-geometry/video/860

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    Brent

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    OptimusPrep Master | Next Rank: 500 Posts
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    Post Mon May 02, 2016 7:23 pm
    boomgoesthegmat wrote:


    In the figure above, what is the ratio of the measure of angle B to the measure of angle A?

    A) 2 to 3
    B) 3 to 4
    C) 3 to 5
    D) 4 to 5
    E) 5 to 6

    OA: D
    From the figure, we know that it is a right angle triangle.
    Hence, y + (y + 10) + 90 = 180
    Or, 2y = 80, y = 40

    angle B = 40 and angle A = 40
    Ratio of angle B to angle A = 4:5

    Correct option: D

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