Question

In figure find x,if ABll CD​

Answer 1

Answer:

answer for the given problem is given

Answer 2

Answer:

255°

Step-by-step explanation:

Given:

     A║B

To find:

     the value of 'x'

Construction:

      line PQ║AB, passing through O

Solution:

      AB║PQ, OB is the transversal

       So, ∠1  = ∠2  = 55° (alternate interior angles)

             ∠2  + ∠3  = 180°  (complete angle)

             55°  + ∠3  = 180°

              ∠3  = 180° - 55°

              ∠3  = 125° ⇒ 1

CD║PQ, OD is the transversal

       So, ∠4  = ∠5  = 50° (alternate interior angles)

             ∠5  + ∠6  = 180°  (complete angle)

             50°  + ∠6  = 180°

              ∠6  = 180° - 50°

              ∠6  = 130° ⇒ 2

  ∠x = ∠3 + ∠6 ⇒ 3

Substitute equations 1 and 2 in 3

 ∠x = ∠3 + ∠6

 ∠x = 125° + 130°

 ∠x = 255°