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

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In the figure above, point D is on AC. What is the degree measure of [#permalink]

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New post 17 Jun 2016, 05:25
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A
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D
E

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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.


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2016-06-17_1624.png [ 27.72 KiB | Viewed 9309 times ]

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Re: In the figure above, point D is on AC. What is the degree measure of [#permalink]

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New post 17 Jun 2016, 06:05
The diagram is not clear is 20 the angle measure of ABD or length of BD?
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Re: In the figure above, point D is on AC. What is the degree measure of [#permalink]

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New post 17 Jun 2016, 06:07
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Re: In the figure above, point D is on AC. What is the degree measure of [#permalink]

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New post 17 Jun 2016, 06:19
Thanks. Answer is A
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Re: In the figure above, point D is on AC. What is the degree measure of [#permalink]

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New post 17 Jun 2016, 06:20
2
Case1 : angle BDC = 60 deg

Angle BDC + Angle BDA = 180 degree ( as points ADC form a straight line )

If angle BDC = 60.
Then angle BDA = 180 - 60 =120

The sum of the angles of triangle ABD = 180 degrees.

Angle BDA + Angle ABD + angle BAD = 180 degree

I.e. 120 + 20 + angle BAD = 180 degree.

Angle BAD = angle BAC = 40 degs

Case 2 : clearly insufficient

Therefore A is the correct answer.

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Re: In the figure above, point D is on AC. What is the degree measure of [#permalink]

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New post 18 Jun 2016, 03:52
2
IMO A
1).bdc is known
therefore bda=180-bdc
dba=20
so bda+dba+dab=180.
sufficient
2)BCA<BDC
this doesnit give us any information
Insufficient
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Re: In the figure above, point D is on AC. What is the degree measure of [#permalink]

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New post 16 Aug 2016, 14:27
Bunuel wrote:
Image
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.


Attachment:
2016-06-17_1624.png

Figure appears to be mirror-image. Could you please correct it
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Re: In the figure above, point D is on AC. What is the degree measure of [#permalink]

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New post 08 Dec 2016, 10:29
1
Bunuel wrote:
Image
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.

Attachment:
2016-06-17_1624.png


We are given the following diagram:

Image

We need to determine the degree measure of ∠BAC, which is also the degree measure of ∠BAD.

Statement One Alone:

The measure of ∠BDC is 60°.

We can fill the above information into our diagram.

Image

Since ∠ADB and ∠BDC are supplementary, their total degree measurement is equal to 180.

Thus, m∠ADB = 180 – 60 = 120 degrees.

Since we have 2 of the 3 angles in triangle ABD, we can determine the measure of ∠BAC:

m∠BAC = 180 – 120 – 20 = 40 degrees.

Statement one alone is sufficient to answer the question. We can eliminate answer choices B, C, and E.

Alternate solution:

We can see that ∠ADB is an exterior angle of triangle ABD, and it is equal to the sum of the measures of ∠BAD and ∠ABD (recall that the measure of an exterior angle of a triangle is the sum of the measures of the two remote interior angles).

Therefore, m∠BAD = m∠ADB - m∠ABD = 60 - 20 = 40 degrees.

Statement Two Alone:

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

Knowing that the measure of ∠BAC is less than the measure of ∠BCD does not allow us to determine the measure of ∠BAC. Statement two is not sufficient.

Answer: A
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Re: In the figure above, point D is on AC. What is the degree measure of [#permalink]

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New post 19 Jun 2018, 15:06
Hi, I have been practicing for the gmat for a while now and never struggled much with a question, but I've spend hours reading the explanation of this question and still don't get it. Maybe there is something wrong in my basic triangle knowledge.

Things that confuse me:
- Is there a difference between ''measure of'' and ''degree measure of'' and what is this difference?
- Is there a difference between m∠ADB and m∠ABD and what is this difference?
- What does the 20 mean? I assumed this was the angle degree of ∠BAD but this does not seem to be the case
-The first option gives ∠BDC is 60 degrees, why is this in the answers placed next to the letter D, and not near B, since it gives the angle of BDC?

I probably make one or more basic trangle calculating mistakes but it would be really nice if someone could explain this to me!
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Re: In the figure above, point D is on AC. What is the degree measure of [#permalink]

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New post 19 Jun 2018, 21:18
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KoenvZandvoort wrote:
Hi, I have been practicing for the gmat for a while now and never struggled much with a question, but I've spend hours reading the explanation of this question and still don't get it. Maybe there is something wrong in my basic triangle knowledge.

Things that confuse me:
- Is there a difference between ''measure of'' and ''degree measure of'' and what is this difference?
- Is there a difference between m∠ADB and m∠ABD and what is this difference?
- What does the 20 mean? I assumed this was the angle degree of ∠BAD but this does not seem to be the case
-The first option gives ∠BDC is 60 degrees, why is this in the answers placed next to the letter D, and not near B, since it gives the angle of BDC?

I probably make one or more basic trangle calculating mistakes but it would be really nice if someone could explain this to me!


Hello
I will try to answer as per my knowledge

- 'measure of' and 'degree measure of' mean almost same. Although we can measure an angle in 'radians' also than degrees (180 degrees means 'pi' radians), but for GMAT purpose, measure of an angle can be taken to mean 'degree measure of' an angle

- measure of ADB is indeed DIFFERENT from measure of ABD. Its always the alphabet in the middle of which the measure is being spoken about. Eg, in our given figure, '20 degrees' is the measure of angle ABD, and its NOT the measure of angle ADB or angle BAD

- what does 20 mean? I think I have answered this question above

- as I said, angle BDC is the measure of angle D (the alphabet in the middle), its NOT the measure of angle DBC or angle BCD
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Re: In the figure above, point D is on AC. What is the degree measure of [#permalink]

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New post 20 Jun 2018, 04:33
Yes, thanks a lot! i always learned to look at the first letter, by looking at the middle its all clear and easy to me. Weird how that differs per country/region. Thanks a lot for the explanation!
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Re: In the figure above, point D is on AC. What is the degree measure of [#permalink]

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New post 25 Jun 2018, 04:12
You can watch solution at

https://youtu.be/RlaqljEHe5s
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Re: In the figure above, point D is on AC. What is the degree measure of   [#permalink] 25 Jun 2018, 04:12
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