Given that one of the exterior angles has a
measure of: m < 53, then it means that < 8 also has the same measure because both angles are Alternate exterior angles that don’t have a common vertex on alternate sides of the transversal.
Thus, m < 8 = 53.
< 8 is also the supplement of < 7, therefore:
m < 7 = 180 - m < 8
m < 7 = 180 - 53
m < 7 = 127.
< 2 is also the supplement of m < 53.
Therefore:
m < 2 = 180 - m < 53
m < 2 =127
Simply put:
m < 53 and m < 8 have the same measure of 53°
m < 2 and m < 7 have the same measure of 127°
Because they all are Alternate Exterior Angles.
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