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OG Point D is on AC.

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AbeNeedsAnswers Master | Next Rank: 500 Posts Default Avatar
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OG Point D is on AC.

Post Tue Aug 22, 2017 7:27 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])


    In the figure above, point D is on AC. What is the degree measure of ∠BAC?

    (1) The measure of ∠BDC is 60°
    (2) The degree measure of BAC is less than the degree measure of BCD.

    A

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    Post Tue Sep 12, 2017 9:18 am
    Hi AbeNeedsAnswers,

    This question asks us for the measure of ∠BAC. To answer it, we'll need to think about the 3 triangles in picture (the two 'smaller' triangle and the larger triangle that holds them).

    (1) The measure of ∠BDC is 60°

    With ∠BDC = 60, we can determine...
    ∠BDA = 120 (since lines sum to 180 degrees)
    ∠BAC = 40 (since triangles sum to 180 degrees and we have the other 2 angles in the triangle).
    Fact 1 is SUFFICIENT

    (2) The degree measure of ∠BAC is less than the degree measure of∠BCD.

    Fact 2 doesn't give us any numbers to work with, so there are LOTS of different possible values for
    ∠BAC.
    Fact 2 is INSUFFICIENT

    Final Answer: A

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