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In figure, ABCD and AEFG are two paralle...

In figure, ABCD and AEFG are two parallelograms. If `angleC = 55^(@)`, then determine `angleF`.

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We have, ABCD and AEFG are two parallelograms and `angleC=55^(@)`. Since, ABCD is a parallelogram, then opposite angles of a parallelogram are equal.
`angleA =angleC = 55^(@)" "...(i)`
Also, AEFG is parallelogram.
`therefore" "angleA=angleF=55^(@)" "` [from Eq. (i)]
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