In Fig. 14.115, ANCD and AEFG are two parallelograms. If ∠C=58°, find ∠F.
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Given : ABCD and AEFG are two parallelograms and ∠C = 58°.
In parallelogram ABCD:
We know that in a parallelogram opposite angles are equal :
∠A =∠C = 58°
Also , AEFG is a parallelogram.
Therefore , ∠A =∠F = 58°
Hence, the value of ∠F is 58°.
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Extra information :
- In a parallelogram opposite angles are equal.
- in a parallelogram opposite sides are equal.
- A diagonal of a parallelogram divides it into two congruent triangles.
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