Math, asked by swanandi7, 2 months ago

In the figure, AB || CD. find the value of x .

Please Help.

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Answered by Mathmagicians
138

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  • From E, draw EF || AB || CD. EF || CD and CE is the transversal.
  • ∴∠DCE+∠CEF=180o        [∵ Co-interior angles]
  • ⇒xo+∠CEF=180o⇒∠CEF=(180−xo)
  • Again, EF || AB and AE is the transversal.
  • ∠BAE+∠AEF=180o      [∵ Co-interior angles]
  • ⇒105o+∠AEC+∠CEF=180o
  • ⇒105o+25o+(180o−xo)=180o
  • ⇒310−xo=180o
  • Hence, x=130o

Hope it helps..!

Answered by ritusingh8274
0

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please mark as brainlist answer and thanked also

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