Question

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

Answer 1

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°

Answer:
m∠3 = 150°
m∠4 = 30°