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In the given figure, AB || CD and AC || BD. If ∠EAC = 40°, ∠FDG = 55°, ∠HAB = x; then the value of x is:

95°
70°
35°
85°

Correct Answer: 85°

Explanation:

∠DCK = ∠FDG = 55° (corr. ∠s)
∴ ∠ACE = ∠DCK = 55° (vert. opp. ∠s)
So, ∠AEC = 180° – (40° + 55°) = 85°
∴ ∠HAB = ∠AEC = 85° (corr. ∠s)
Hence, x = 85°.

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