Question

In the given figure AB parallel to CD then value of x is?

Answer 1

Answer:

 x = 45

Step-by-step explanation:

AB // CD,

∠AB0 + ∠COB = 180  {Co interior angles}

   75 + ∠COB = 180

             ∠COB = 180 - 75 = 105

∠DOE =∠COB   {Vertically opposite angles}

∠DOE = 105

In ΔDOE,

x + 30 + 105 = 180    {angle sum property of triangle}

      x + 135 = 180

                x = 180 - 135

                x = 45