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

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Accepted Answer

∠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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