nadadiaa12007 nadadiaa12007
  • 18-10-2020
  • Mathematics
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In the given figure AB parallel to CD then value of x is?

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

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devishri1977
devishri1977 devishri1977
  • 18-10-2020

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

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