True...d + c (or e + f) = 180° .. no question about it (n/t)

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Posted by Subhotosh Khan on October 10, 2002 at 13:15:15:

In Reply to: Geometry ??? posted by GEOmetricity on October 10, 2002 at 12:35:57:

: Take the following:

: a \ b
: ---\---------->
: d \ c
: \
: \
: e \ f
: --------\------>
: g \ h

: Corresponding angles are equal, 4 pairs of corresponding angles are formed.

: a=e, b=f, d=g, c=h

: However I now have this one here:

: \
: ---\---------->
: d \ c
: \
: \
: e \ f
: --------\------>
: \

: Alternate angles are equal
: 2 pairs of alternate angles are formed
: d=f and c=e

: I am fine with that as the imediate above is using only 2 pairs of angles....

: Now this one..

: \
: ---\---------->
: d \ c
: \
: \
: e \ f
: --------\------>
: \

: Cointerior angles are supplementary
: 2 pairs of cointerior angles are formed

: d+e = 180 degrees and c+f = 180 degrees

: Now why wont d + c (or e + f) = 180 degrees??

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Comments:
: : Take the following: : : a \ b : : ---\----------> : : d \ c : : \ : : \ : : e \ f : : --------\------> : : g \ h : : Corresponding angles are equal, 4 pairs of corresponding angles are formed. : : a=e, b=f, d=g, c=h : : However I now have this one here: : : \ : : ---\----------> : : d \ c : : \ : : \ : : e \ f : : --------\------> : : \ : : Alternate angles are equal : : 2 pairs of alternate angles are formed : : d=f and c=e : : I am fine with that as the imediate above is using only 2 pairs of angles.... : : Now this one.. : : \ : : ---\----------> : : d \ c : : \ : : \ : : e \ f : : --------\------> : : \ : : Cointerior angles are supplementary : : 2 pairs of cointerior angles are formed : : d+e = 180 degrees and c+f = 180 degrees : : Now why wont d + c (or e + f) = 180 degrees??

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