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In each of the following figures, AB||CD...

In each of the following figures, `AB||CD` and `EF` is a transversal. Find each one of the unknown angles `x, y, z`.

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The correct Answer is:
x=55, y= 55, z= 125

ATQ, `/_x=/_BOF`.....(Vertically Opposite Angles)
`:. x =55^@` Also, `/_y=/_BOF`......(Alternate Interior Angles)
`implies /_y=55^@`
`/_y+/_z=180^@`...(Linear Pair)
`implies 55^@+/_z=180^@`
`implies/_z=180^@-/_55^@`
`implies /_z=125^@`
`:. /_x=55^@`
`/_y=55^@`
`/_z=125^@`
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ICSE-LINES AND ANGLES-Exercise 17C
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  2. In the given figure, AB||CD and EF is a transversal. If angle8=110^(@)...

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  3. In each of the following figures, AB||CD and EF is a transversal. Find...

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  8. In each of the following figures, AB|| CD and EF is a transversal. Fin...

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  9. In the given figure, AB||CD. If angleBAC= (3x + 15)^(@) and angleACD=(...

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  16. In each of the figures given below, AB||CD. Find the unknown angles, g...

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