In the figure above, (a + b + c)/(s + t + u) =

Question

https://gmatclub.com/forum/download/file.php?id=36890 In the figure above, (a + b + c)/(s + t + u) = (A) 1/3 (B) 1/2 (C) 2/3 (D) 1 (E) 3/2 2017-08-12_1405.png

generis · Answer

Interior angles sum to 180 
a + b + c = 180
Exterior angles sum to 360
s + t + u = 360

(a + b + c)/(s + t + u) = 180/380

\frac{180}{360}  =  \frac{1}{2}

OR (exterior angle = sum of two non-adjacent angles)

b + c = s
a + c = t
a + b = u

b + c + a + c + a + b = s + t + u

2(a + b + c) = (s + t + u)

2(a + b + c)/(s + t + u) = 1

(a + b + c)/(s + t + u) = 1/2

Answer B

sashiim20 · Answer

Can be solved Using the properties of exterior angles of triangle.

Exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.

s = b + c 
 t = a + c 
 u = a + b

s + t + u = b + c + a + c + a + b => 2a + 2b + 2c

s + t + u = 2 (a + b + c)

\frac{(a + b + c)}{(s + t + u)} = \frac{(a + b + c)}{2(a + b + c)} = \frac{1}{2}

Answer (B)...

AbdurRakib · Answer

\frac{(a + b + c)}{(s + t + u)} = \frac{180}{(180-a+180-b+180-c)} = \frac{180}{3*180-(a+b+c)} = \frac{180}{3*180-180} = \frac{180}{2*180} = \frac{1}{2}

Correct Answer B

sahilvijay · Answer

take any random value for a,b and c say a30, b120, c 30. and sum of a,b,c is 180
accordingly s ,t, u will be 180-30, 180-120, 180- 30 i.e. 150,60 and 150 and thoer sum will be 360
(a+b+c)/ (r+s+t) = 180/360 =1/2 which is option B

rahulk28011 · Answer

In the figure above, (a + b + c)/(s + t + u) =

(A) 1/3 
(B) 1/2 
(C) 2/3
(D) 1 
(E) 3/2

s=b+c
t=c+a
u=b+a
a+b+c =180

therefore, a+b+c / s+t+u = (a+b+c) / 2 (a+b+c) = 1/2

bumpbot · Answer

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In the figure above, (a + b + c)/(s + t + u) =

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