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In the diagram below, what is the measure of the non-reflex angle form

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In the diagram below, what is the measure of the non-reflex angle form  [#permalink]

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New post 24 Jul 2017, 23:19
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A
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C
D
E

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Question Stats:

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In the diagram below, what is the measure of the non-reflex angle formed by extending the lines BD and CE? A reflex angle is one whose measure is greater than 180° but less than 360°
Image

(1) x = y
(2) x + y = 40°

Attachment:
2017-07-25_1018.png
2017-07-25_1018.png [ 9.35 KiB | Viewed 1053 times ]

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Re: In the diagram below, what is the measure of the non-reflex angle form  [#permalink]

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New post 26 Jul 2017, 02:05
1
Answer B:

First of all, by extending the two lines we will draw a concave quadrilateral. If we have the three angles, we can find the third angle.

Statement 1: We have two equal angles and the third angle we are trying to find but we don't know their values. So, this statement is insufficient.
Statement 2: We have all the required information to answer the question. x+y+60+z=360. 40+60+z=360 z=260 So the angle we are interested is 100 degrees.
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Re: In the diagram below, what is the measure of the non-reflex angle form  [#permalink]

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New post 29 Jul 2017, 01:33
Answer is B
300-(x+y) is the final measure of the angle. So Statement 2 is sufficient
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Re: In the diagram below, what is the measure of the non-reflex angle form  [#permalink]

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New post 29 Jul 2017, 03:18
We join the points B and C and form a triangle ABC.
statement 1: x=y , which means angle DBE and Angle ECB will also be equal. Therefore x+y+angle DBE+angle ECB= 120.
Which means 2x+2*angle DBE=120.
Therefore x+angle DBE =60 degrees.
This tells that ABC is an equilateral triangle.
So I feel now we can find the requisite angle.

Sufficient.

Statement 2: already shown in previous threads sufficient.

So imo D should e the answer.

* Experts kindly correct if I am wrong.


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Re: In the diagram below, what is the measure of the non-reflex angle form  [#permalink]

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New post 29 Jul 2017, 09:20
Bunuel wrote:
In the diagram below, what is the measure of the non-reflex angle formed by extending the lines BD and CE? A reflex angle is one whose measure is greater than 180° but less than 360°
Image

(1) x = y
(2) x + y = 40°

Attachment:
2017-07-25_1018.png

Bunuel,
Kindly help me understand this question better. I have solved this question but I am not sure whether I am right or not ..

Thanks in advance

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Re: In the diagram below, what is the measure of the non-reflex angle form   [#permalink] 29 Jul 2017, 09:20
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In the diagram below, what is the measure of the non-reflex angle form

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