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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. ### Request Expert Reply # In the figure above, lines are drawn at the vertices of the quadrilate

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Math Expert V
Joined: 02 Sep 2009
Posts: 55188
In the figure above, lines are drawn at the vertices of the quadrilate  [#permalink]

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Difficulty:   5% (low)

Question Stats: 86% (01:08) correct 14% (01:13) wrong based on 43 sessions

### HideShow timer Statistics In the figure above, lines are drawn at the vertices of the quadrilateral as shown. What is the sum of the degree measures of the marked angles?

A. 450
B. 360
C. 270
D. 240
E. 180

PS15602.01
Quantitative Review 2020 NEW QUESTION

Attachment: 2019-04-26_1741.png [ 11.06 KiB | Viewed 422 times ]

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Senior Manager  G
Joined: 25 Feb 2019
Posts: 277
In the figure above, lines are drawn at the vertices of the quadrilate  [#permalink]

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IMO B

Sum of angles formed by 4 straight linea = 180*4= 720

sum of angles of quad = 360

so aum the angles shown in picture = 720-360 = 180

Posted from my mobile device

Originally posted by m1033512 on 26 Apr 2019, 08:48.
Last edited by m1033512 on 26 Apr 2019, 22:04, edited 1 time in total.
CEO  V
Joined: 12 Sep 2015
Posts: 3717
Location: Canada
Re: In the figure above, lines are drawn at the vertices of the quadrilate  [#permalink]

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1
Top Contributor
Bunuel wrote: In the figure above, lines are drawn at the vertices of the quadrilateral as shown. What is the sum of the degree measures of the marked angles?

A. 450
B. 360
C. 270
D. 240
E. 180

Since we're not given an information about the quadrilateral, the shape COULD be a square. Since angles on a line add to 180°, we know that a + b + 90 = 180, which means a + b = 90

Likewise, we know that c + d + 90 = 180, which means c + d = 90

Applying the same logic, we can see that e + f = 90 and g + h = 90

So, the sum of all 8 angles = a + b + c + d + e + f + g + h
= (a + b) + (c + d) + (e + f) + (g + h)
= (90) + (90) + (90) + (90)
= 360

Answer: B

Cheers,
Brent
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Location: India
Concentration: Sustainability, Marketing
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Re: In the figure above, lines are drawn at the vertices of the quadrilate  [#permalink]

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alternatively we can solve seeing pic
4 sides are given & for each side the line has angle 180*
since two sides are adjacent are equal so we have total 4*(180-2x)=0
solve for x = 45
so the internal angle of the quadrilateral is 180-90; 90 * and the sum of marked angles ; 90*4 ; 360*
IMO B

Bunuel wrote: In the figure above, lines are drawn at the vertices of the quadrilateral as shown. What is the sum of the degree measures of the marked angles?

A. 450
B. 360
C. 270
D. 240
E. 180

PS15602.01
Quantitative Review 2020 NEW QUESTION

Attachment:
2019-04-26_1741.png

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If you liked my solution then please give Kudos. Kudos encourage active discussions. Re: In the figure above, lines are drawn at the vertices of the quadrilate   [#permalink] 28 Apr 2019, 03:57
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# In the figure above, lines are drawn at the vertices of the quadrilate

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