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In the following figure, ABCD and AEFG are two parallelograms. If ∠C = 55º, determine ∠F. - Mathematics

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Question

In the following figure, ABCD and AEFG are two parallelograms. If ∠C = 55º, determine ∠F.

Sum

Solution

We have, ABCD and AEFG are two parallelograms and ∠C = 55°.

Since, ABCD is a parallelogram, then opposite angles of a parallelogram are equal.

∠A = ∠C = 55°  ...(i)

Also, AEFG is a parallelogram.

∴ ∠A = ∠F = 55°  ...[From equation (i)]

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Chapter 8: Quadrilaterals - Exercise 8.2 [Page 76]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 8 Quadrilaterals
Exercise 8.2 | Q 10. | Page 76
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