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1 Answer

All of the angles are adjacent to the two angles on either side of them.

#mangles = 63^@# 
There are 4 pairs of corresponding angles.
Explanation:
Part 1
All of the angles that are right next to each other are adjacent. If two angles share a side, and they have the same vertex, they are considered adjacent. Since all six of the angles formed in Part A share the same vertex, each angle can be considered "adjacent" to the two angles on either side of it.
Part 2
There are three angles along this straight line
Since the angles are on a straight line, they must all add up to
We know that one of the angles is a right angle (
#90^@ + 27^@ + mangles = 180^@#
#mangles = 180^@  90^@  27^@#
#mangles = 63^@#
Part 3
When a line intersects another line, four different angles are made (since the two lines form an "X" shape). So, when a transversal intersects TWO lines, there are actually EIGHT angles made:
Therefore, since there are two sets of four angles, we say that there are four pairs of corresponding angles. Here they are, labelled individually:
Hope this helps!