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Q.

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


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a

160°, 60°

b

130°, 20°

c

150°, 60°

d

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