Question

In fig, find the value of x
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Answer 1

Answer:

45° because The uper fig. is of 45°

Answer 2

Let the imaginary line be marked as T,R and S.

∴∠APT=∠PTS            (alternate interior angles)

 ∠CQT=∠QTS          (alternate interior angles)

 Now, ∵ ∠PTS= 45° and ∠QTS= 30°

 

∴ 45°+30°+x= 180°     (sum of all angles are 360°)

  75°+x= 180

  x= 180°-75°

∴x=105°

Hope this helps you!!