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Question
In the given figure, ABCD and AEFG are two parallelograms. If ∠C = 58°, find ∠F.
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Solution
ABCD and AEFG are two parallelograms as shown below:
Since ABCD is a parallelogram, with ∠C = 58°
We know that the opposite angles of a parallelogram are equal.
Therefore,
∠A = ∠C
∠A = 58°
Similarly, AEFG is a parallelogram, with ∠A = 58°
We know that the opposite angles of a parallelogram are equal.
Therefore,
∠F = ∠C
∠F = 58°
Hence, the required measure for ∠F is 58°.
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