Question

In figure, find x if AB || CD || EF.
F
25​

Answer 1

X=55°

Line EF ll line CD and CE is transversal

∴AngleCEF + Angle ECD is 180°...Interior angles....(1)

∴AngleECD=30°....(180-150)...from(1)

1. LineAB ll LineCD and seg CB is transversal
2. ∴AngleABC=AngleBCD…(2)
3. Angle BCD= AngleECD+AngleBCE
4. Angle BCD=30°+25°=55°...(3)
5. ∴From (2) and (3) AngleABCi.eX=55°