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20 Aug 2011, 14:56
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
64% (02:01) correct
36%
(01:51)
wrong
based on 491
sessions
History
Date
Time
Result
Not Attempted Yet
In the figure shown, what is the value of v+x+y+z+w?
(A) 45
(B) 90
(C) 180
(D) 270
(E) 360
OPEN DISCUSSION OF THIS QUESTION IS HERE: in-the-figure-shown-what-is-the-value-of-v-x-y-z-w-134894.html
(A) 45
(B) 90
(C) 180
(D) 270
(E) 360
OPEN DISCUSSION OF THIS QUESTION IS HERE: in-the-figure-shown-what-is-the-value-of-v-x-y-z-w-134894.html
16 May 2016, 02:26
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u0422811
Let's simplify the problem by imagining that we have a star that is inscribed in a circle as shown below:
As we can see, 5 arcs subtended by the inscribed angles (x, y, z, w, and v) make the whole circumference. Hence the sum of the corresponding central angles must be 360 degrees, which makes the sum of the inscribed angels 360/2=180 degrees (according to the Central Angle Theorem the measure of inscribed angle is always half the measure of the central angle).
Answer: C.
OPEN DISCUSSION OF THIS QUESTION IS HERE: in-the-figure-shown-what-is-the-value-of-v-x-y-z-w-134894.html
20 Aug 2011, 15:56
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Bookmarks
if it's C then i got the exp like that:
the sum of all angles in the Pentagon are 540(180(n-20))
z+v+ang1(of Pentagon)=180
z+x+ang2=180
w+y+ang3=180
w+x+ang4.=180
x+z+ang5=180
now: 2z+2x+2y+2w+2v+5ang(1,2,3,4,5).=5*180
ang (1,2,3,4,5)=540 as we know that pentagon is ((n-2)*180
2(x+y+z+w+v)+540=900
hence x+y+z+w+v=180
the sum of all angles in the Pentagon are 540(180(n-20))
z+v+ang1(of Pentagon)=180
z+x+ang2=180
w+y+ang3=180
w+x+ang4.=180
x+z+ang5=180
now: 2z+2x+2y+2w+2v+5ang(1,2,3,4,5).=5*180
ang (1,2,3,4,5)=540 as we know that pentagon is ((n-2)*180
2(x+y+z+w+v)+540=900
hence x+y+z+w+v=180
