In the given figure, ABCD and AEFG are two parallelograms. If = 5… - Vidyadip

Question

In the given figure, ABCD and AEFG are two parallelograms. If $\angle\text{C}= 58^\circ,$ find $\angle\text{F}.$

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Answer

ABCD and AEFG are two parallelograms as shown below:

Since ABCD is a parallelogram, with $\angle\text{C}=58^\circ$ We know that the opposite angles of a parallelogram are equal. Therefore, $\angle\text{A}=\angle\text{C}$ $\angle\text{A}= 58^\circ,$ Similarly, AEFG is a parallelogram, with $\angle\text{A}= 58^\circ,$ We know that the opposite angles of a parallelogram are equal. Therefore, $\angle\text{F}=\angle\text{C}$ $\angle\text{F}= 58^\circ$ Hence, the required measure for $\angle\text{F}$ is 58º.

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