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Bunuel
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Bunuel

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

Attachment:
1.jpg
a+d+f+g
a=d and f=g=b and a+b=180
2(a+f)=2(a+b)
=360
E:)
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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
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Must be 360 , as a + d + b + c = 360 , Further g = c & b = f
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Bunuel

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

Attachment:
1.jpg


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.
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