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Answer:
a) MBE; b) EBY; c) MBY; d) MBE; e) YME; f) XEW; g) EBM, EBY; h) EBY, EBM
Step-by-step explanation:
There are many choices here. We'll use choices that make as much use as possible of the same points and segments.
a) ∠MBE is an acute angle
b) ∠EBY is an obtuse angle
c) ∠MBY is a straight angle
d) ∠MBE is an angle with vertex B
e) ∠YME is an angle with side MY
f) ∠XEW is another name for ∠BER
g) ∠EBM and ∠EBY are adjacent angles
h) ∠EBY and ∠EBM are supplementary angles
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Additional comments
An acute angle measures less than 90°; an obtuse angle measures more than 90°. A straight angle measures exactly 180°. A linear pair is a pair of adjacent angles that together measure 180°. That is, they are supplementary and combine to make a straight angle. (Supplementary angles only need to have a sum that is 180°. They do not need to be a linear pair. However, in a figure like this, where angle measures are not marked, angles are guaranteed to be supplementary only if they are a linear pair.)
