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Answer:
A. A linear pair is two adjacent, supplementary angles.
Step-by-step explanation:
from the description,
< ABD = , so that;
< ABD + <DBC =
+ <DBC =
<DBC = -
=
Thus,
<FBE = < ABD = (vertically opposite angles)
<ABF + <FBE = (supplementary angles)
<ABF + =
<ABF = -
=
The statement that justifies why <ABF measures is a linear pair is two adjacent, supplementary angles.
First, recall that
So if , then
.
Second,
We know that and
, which means we should also have
.
Third,
but as we've already shown, we need to have , so we pick the negative root.
Finally,
Unfortunately, none of the given answers match, so perhaps I've misunderstood one of the given conditions... In any case, this answer should tell you everything you need to know to find the right solution from the given options.