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In Figure, ABCD and AEFG are two parallelograms. If \angle C = 55^{\circ}, determine \angle F .

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Answer: \angle F=55^{\circ}
 

Solution.
Given: ABCD and AEFG are two parallelograms

Given \angle C = 55^{\circ}
then \angle A is also 55^{\circ}.                                 {opposite angles of a parallelogram are equal}
Also AEFG is a parallelogram then
\angle A=\angle F=55^{\circ}
                {opposite angels of a parallelogram is equal}

Hence, \angle F=55^{\circ} is the required answer.

 

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