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