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

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

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Given, 

ABCD & AEFG are two parallelograms 

∠C = 58° 

∵ AB || CD, 

AE || FG,

BC || AD, 

EF || AG 

GF produced to H so GH || AB 

= ∠C = ∠H 

(corresponding angles) 

= ∠H = 58° 

AD || BC and GH cuts them 

Hence, 

∠F = ∠H 

(corresponding angles) 

∠F = 58°.

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