Two angles are supplementary. One angle measures at 75° more than twice the measure if the other. What are the measurements of the two angles?

Supplementary means adds to 180 degrees

say they are x and y

x+y=180

and one meauses 75 more than twice the other

x=75+2y

solve

subsitute 75+2y for x in other equation

75+2y+y=180

75+3y=180

minus 75 from both sides

3y=105

divide both sides by 3

y=35

sub back

x=75+2y

x=75+2 (35)

x=75+70

x=145

the angles are 145° and 35°