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Question
In the following figure, ABCD and AEFG are two parallelograms. If ∠C = 55º, determine ∠F.

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Solution
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 equation (i)]
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