Question

In the given figure if AB II CD and CD II EF, then what is the value of y?
2 marks​

Answer 1

Answer:

y=20

Step-by-step explanation:

angle ECD=50(co-interior angle)

angle BCD=70(opposite interior angle)

70-50=y

y=20

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Answer 2

Answer:

20 degree

Step-by-step explanation:

As EF IS PARALLEL TO AB(CONSTRUCTION)

=> EF IS ALSO PARALLEL TO CD(LINES PARALLEL TO THE SAME LINE ARE PARALLEL TO ONE ANOTHER)

SO, AS ANG CEF AND ANG ECD ARE CO- INTERIOR ANGLES, SO, ANG ECD=180-130( IF LINES ARE PARALLEL THEN CO INTERIOR ANGLES ARE SUPPLEMENTARY)

=> ANG ECD= 50 degree

ALSO, ANG ABC= ANG BCD=70 degree( ALTERNATE INTERIOR ANGLES)

NOW, y= ang bcd- ang ecd=70 degree - 50 degree

=>y =20 degree

HOPE IT HELPS