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Question
In the following figure, ABCD and AEFG are parallelograms. If ∠C = 55°, what is the measure of ∠F?
Solution
\[\text{ Both the parallelograms ABCD and AEFG are similar } . \]
\[ \therefore \angle C = \angle A = 55° (\text{ opposite angles of a parallelogram are equal })\]
\[ \therefore \angle A = \angle F = 55° (\text{ opposite angles of a parallelogram are equal })\]
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