E is mid-point of side BC of parallelogram ABCD such that CD : AD = 1 : 2. If ∠BAE = 40°, then ∠ADE equals ____ .
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In △ABE and △CFB,
∠ABE=∠CFB (Alternate angles)
∠BAE=∠BCF (opposite angles of a parallelogram)
∴ By AA criterion of similarity, △ABE ∼ △CFB
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