Answer:
∠ BCE = 80°
Step-by-step explanation:
∠ BCD = ∠ ABC = 35° ( alternate angles are congruent )
∠ DCE and ∠ CEF are same- side interior angles and supplementary, thus
∠ DCE + ∠ CEF = 180° , that is
∠ DCE + 135° = 180° ( subtract 135° from both sides )
∠ DCE = 45°
Thus
∠ BCE = ∠ BCD + ∠ DCE = 35° + 45° = 80°
