Question

the measure of angle t is 35 degrees greater than 4 times the measurement of its supplement what is the supplement of angle t

Answer 1

http://www.mathsisfun.com/geometry/supplementary-angles.html

Answer 2

if you call angle supplement x then:
x+t=180 (by definition of supplemental angle)
also you know that t=35+4x
so you have system of equations:
x+t=180
t=35+4x

can you solve it?

Answer 3

substitute value of t (from the second equation) to the first:
x+35+4x=180
5x=145
x=29 (this is the value of supplemental angle)
to find the value of t:
t=180-29
t=151 (degrees)