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slega [8]
3 years ago
9

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

Mathematics
1 answer:
Sveta_85 [38]3 years ago
4 0

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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Step-by-step explanation:

Points to remember

1). The sum of angles in a linear pair is 180°

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From the figure we can see a triangle in which two exterior angles area given.

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from figure we get,

n = (interior angle of 131°  + interior angle of 160°)

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