In figure - ABCD and AEFG are two parallelograms- If - C - 55- then determine - F-

We have, ABCD and AEFG are two parallelograms and ∠ C = 55^∘ nbsp;. Since ABCD is a parallelogram, then opposite angles of a parallelogram are equal. ∠ nbs ...

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Standard VIII

Mathematics

Sum of Angles of a Quadrilateral

In figure , A...

Question

In figure , ABCD and AEFG are two parallelograms. If $∠ C = 55^{\circ}$ , then determine $∠ F$ .

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Solution

We have, ABCD and AEFG are two parallelograms and $∠ C = 55^{\circ}$ . Since ABCD is a parallelogram, then opposite angles of a parallelogram are equal.

$∠ A = ∠ C = 55^{\circ}$ …(i)

Also, AEFG is a parallelogram.

$∠ A = ∠ F = 55^{\circ}$ [From Eq.(i)]

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In figure , ABCD and AEFG are two parallelograms. If ∠C=55∘, then determine ∠F.

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 Eq.(i)]

In figure , ABCD and AEFG are two parallelograms. If $∠ C = 55^{\circ}$ , then determine $∠ F$ .

We have, ABCD and AEFG are two parallelograms and $∠ C = 55^{\circ}$ . Since ABCD is a parallelogram, then opposite angles of a parallelogram are equal.

$∠ A = ∠ C = 55^{\circ}$ …(i)

Also, AEFG is a parallelogram.

$∠ A = ∠ F = 55^{\circ}$ [From Eq.(i)]