Question

In the figuee AB || CD , find the value of X​

Answer 1

Answer:

From E, draw EF || AB || CD. EF || CD and CE is the transversal.

∴∠DCE+∠CEF=180

o

[∵ Co-interior angles]

⇒x

o

+∠CEF=180

o

⇒∠CEF=(180−x

o

)

Again, EF || AB and AE is the transversal.

∠BAE+∠AEF=180

o

[∵ Co-interior angles]

⇒105

o

+∠AEC+∠CEF=180

o

⇒105

o

+25

o

+(180

o

−x

o

)=180

o

⇒310−x

o

=180

o

Hence, x=130

o