Question

In the given figure, find angle x if AB || CD

Answer 1

Step-by-step explanation:

From figure,

AB∥CD

So, ∠DCF=∠AFC

∴ ∠AFC=110 degree (∵ ∠DCF=110 degree )

∴ ∠AFE=180−∠AFC

⇒∠AFE=180−110=70 degree

And,

∠EAF=180−∠BAE

⇒∠EAF=180−100=80 degree

From △AEF ,

∠EAF+∠AFE+∠AEF=180

⇒80+70+∠AEF=180

⇒∠AEF=180−80−70

∴ ∠AEF=x=30 degree

So, The value of x is 30 degree.

✅Hope its help you ❗

Answer 2

if angle pcd 90 degree then x = 10 degree