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

We know that the opposite angles of a parallelogram are equal.

Therefore,

Similarly, AEFG is a parallelogram, with

We know that the opposite angles of a parallelogram are equal.

Therefore,

Hence, the required measure for is .

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Similar questions

In the figure, ABCD and AEFG are two parallelograms. If $∠ C = 58^{\circ}$ , Find $∠ F$ .

∠ C = 55^{\circ}

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∠ C = 55^{0}

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∠ C = 55^{\circ}

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A B C D

A E F G

∠ C = 55^{o}

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