If m< 3 is five times the measure of its supplement (< 4), then determine the measure of each angle.

Let x = m∠3
Let y = m∠4

Because y is the supplement of x, therefore
x + y = 180°             (1)

Because x is five times y, therefore
x = 5y                      (2)

Substitute (2) into (1).
5y + y = 180
6y = 180
y = 30°

From (2), obtain
x = 5*y = 5*30 = 150°

m∠3 = 150°
m∠4 = 30°

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