Question

What is the angle BCE ?
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Answer 1

∠ BCE = 80°

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°