In the given figure, AB||CD ||EF. Find the value of x.
X=20
Given AB||CD||EF, ∠ABC = 70° and ∠CEF = 130°
AB||CD
Therefore,
∠ABC = ∠BCD = 70° [Alternate angles] ________________ (i)
EF||CD
Therefore,
∠DCE + ∠CEF = 180°
⇒ ∠DCE + 130° = 180°
⇒ ∠DCE = 50°
Now,
∠BCE + ∠DCE = ∠BCD
⇒ x + 50° = 70°
⇒ x = 20°