Question

In the given figure AB parallel CE and DF parallel CB, find the values of x and y

Answer 1

so Y is equal to 60 degree and C is equal to 4 x is equal to 50 degree

Answer 2

The values of x = 50° and y = 60°

Given:

AB is parallel to CE and DE

from figure ∠FDE = 50°  and ∠DAB = 60°  

To find:

The values of x and y

Solution:

From figure, AB is parallel with CD and DE

BC and DF are transversal lines  

then ∠CDA and ∠DAB are alternative angles

and ∠BCD, ∠FDE are corresponding angles

      ∠ABC and ∠BCD are alternative angles

If two parallel lines are cut by a transversal, then the formed alternate angles and corresponding angles are equal

⇒  ∠CDA = ∠DAB  [ ∵ alternative angles  ]

⇒ y = 60°

⇒ ∠BCD = ∠FDE   [∵ corresponding angles ]  

⇒ ∠ABC = ∠BCD  [ ∵ alternative angles ]

⇒ x = 50°

The values of x = 50° and y = 60°

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