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In the Given Figure, Abcd and Aefg Are Two Parallelograms. If ∠C = 58°, Find ∠F. - Mathematics

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प्रश्न

In the given figure, ABCD and AEFG are two parallelograms. If ∠C = 58°, find ∠F.

संक्षेप में उत्तर

उत्तर

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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अध्याय 13: Quadrilaterals - Exercise 13.5 [पृष्ठ ६९]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 13 Quadrilaterals
Exercise 13.5 | Q 13 | पृष्ठ ६९

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