Question 493166
the measure of the angle is thirty degrees more 
than one-fourth the measure of it's supplement
----
Angle: x
Supplement: 180-x
-----
Equation:
x = (1/4)(180-x)+30
-----
4x = 180-x+30
4x = 150-x
5x = 150
x = 30 (angle)
180-x = 150 (supplement)
============================
Cheers,
stan H.