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Bunuel

If L1 || L2, what is the value of x?


A. 160
B. 130
C. 100
D. 65
E. 50

Attachment:
image002.gif

2x = 180 - 50 = 130
x = 65

IMO D
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Solution



Given:
    • \(L_1\) is parallel to \(L_2\)

To find:
    • The value of x

Approach and Working Out:
    • We know that on line \(L_3\), sum of x + x + third angle = \(180^o\), since it is a straight angle
    • The third angle = \(50^o\) (alternate angles, \(L_3\) as a transversal)
      o Therefore, 2x = 180 – 50
      o Implies, \(x = 65^o\)

Hence, the correct answer is Option D.

Answer: D
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