The measure of the angles is 108degrees
From the given diagram, the given measures are alternate exterior angles and they are equal.
Given the following parameters
<A =6x +18
<B = x + 93
Equate
6x + 18 = x + 93
6x - x = 93 -18
5x = 75
x = 15
Determine the measure of the angles
<A = <B = 6x + 18
<A = <B = 6(15) + 18
<A = <B = 108 degrees
Hence the measure of the angles is 108degrees
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