Lines q and r in the figure shown are parallel lines cut by transversa

Question

https://gmatclub.com/forum/download/file.php?id=55791 Lines q and r in the figure shown are parallel lines cut by transversal p. What is the sum of the measure of angles a, d, f, and g in degrees? A. 90 B. 120 C. 180 D. 270 E. 360 1.jpg

GMATinsight · Answer

a = d and f = g (Vertically Opposite angles)

Also, a + c = 180 and c = f i.e. a+f = 180
Also, d + c = 180 and c = g i.e. d+g = 180

i.e. a+f+d+g = 180+180 = 360

Answer: Option E

v12345 · Answer

a = e and d = h ( Corresponding angles are equal )
Thus, e + f + g + h = 360 (As angles around a point total to 360)
a + f + g + d = 360
Hence, OA is (E).

satya2029 · Answer

a+d+f+g
a=d and f=g=b and a+b=180
2(a+f)=2(a+b)
=360
E:)

NitishJain · Answer

IMO  E 
a=d & f=g vertically opposite angles
also f=c alternate angles

for line p: a+ c= 180 or a + f =180

2(a+f) = 360
or a+ a + f + f =360
or a + d + f + g = 360

Abhishek009 · Answer

Must be 360 , as a + d + b + c = 360 , Further g = c & b = f

Babineaux · Answer

q and r are parallel and p is their transversal,

Thus a = d = e = h

and b = c = f = g

Asked a + d + f + g,

Replacing f and g with b and c;

Therefore it becomes a + b + d + c = 180 + 180 = 360 degrees.

IMO ans is E.

Lines q and r in the figure shown are parallel lines cut by transversa

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Lines q and r in the figure shown are parallel lines cut by transversa

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