A customer decides to build a fence around the backyard. The yard is rectangular, and with the house an equal distance from both
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Answer:
From the graph attached, we know that by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like
and
.
We also know that, by definition of linear pair postulate, and
are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.
They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that and
together are 180°, because they are on a straight angle. That is,
If we substitute for
, we have
, which means that
and
are also supplementary by definition.
I hope this helps you
