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Bunuel

In the figure, AD and BC are lines intersecting at O. What is the value of a ?


(A) 15

(B) 30

(C) 45

(D) 60

(E) 135

a) \(y+\frac{5y}{2}=180\) or, y=360/7 (Angles on one side of a straight line always add to 180 degrees)
b) y=2x+30 or, \(x=\frac{75}{7}\) (opposite angles are congruent)
c) 5x+5a+2x+30=180 or, 7x+5a=150 or, 5a=150-75=75 or, a=15

Ans. (A)
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Bunuel

In the figure, AD and BC are lines intersecting at O. What is the value of a ?

(A) 15
(B) 30
(C) 45
(D) 60
(E) 135

Attachment:
lines (4).jpg

Dear Moderator,
Same question seems to have been duplicated in the link below , you may wish to merge the same, Thank you.

https://gmatclub.com/forum/in-the-figur ... l#p2148445
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stne
Bunuel

In the figure, AD and BC are lines intersecting at O. What is the value of a ?

(A) 15
(B) 30
(C) 45
(D) 60
(E) 135

Attachment:
lines (4).jpg

Dear Moderator,
Same question seems to have been duplicated in the link below , you may wish to merge the same, Thank you.

https://gmatclub.com/forum/in-the-figur ... l#p2148445

________________
Merged. Thank you.
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we can say, 5x+5a=5y/2
=>5(x+a)=5y/2
=>2x+2a=y

again, y=2x+30
=>2x+2a=2x+30
=>a=15
Ans A

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