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In figure, ABCD and AEFG are two parallelograms. If ∠C = 55°, then determine ∠F.

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We have, ABCD and AEFG are two parallelograms and ∠C = 55°. Since, ABCD is a parallelogram, then opposite angles of a parallelogram are equal.

∠A = ∠C = 55° ...(i)

Also, AEFG is a parallelogram.

∴ ∠A=∠F = 55° [from Eq. (i)]

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