# In Fig. 9.49, if l1 || l2, the value of x isA. 22B. 30C. 45D. 60

Since,

l1 l2

And PQ cuts them

DPQ + PQE = 180o (Consecutive interior angles)

a + a + b + b = 180o

2 (a + b) = 180o

a + b = 90o (i)

In

PAQ + a + b = 180o

PAQ = 90o

PAQ + x + x = 180o (Linear pair)

90o + 2x = 180o

x = 45o

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