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Offline Centres

In the given figure AB∥CD∥EF, find the angles x and y.

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160

°

, 60

°

130

°

, 20

°

150

°

, 60

°

155

°

, 50

°

answer is D.

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Detailed Solution

AB∥CD∥EF (Given)
BC is a transversal of the parallel lines AB and CD
And CF is a transversal of the parallel lines EF and CD.
seo

Now let's consider the parallel lines AB and CD
∠ABC = 75

°

(Given)
Here ∠ABC and ∠BCD are interior opposite angles
Hence they are equal.
⇒∠ABC=∠BCD
⇒∠ABC=∠BCF+∠FCD
⇒75

°

=y+25

°

⇒75

°

−25

°

=y
⇒50

°

=y
Now let's consider the parallel lines CD and EF
Here ∠EFC and ∠FCD are co interior angles
⇒∠EFC+∠FCD=180

°

⇒x+25

°

=180

°

⇒x=180

°

−25

°

⇒x=155

°

Hence we get the values of x and y = 155

°

and 50

°

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