Question

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?

Answer 1

* the first angle is variable a and the second is variable b
a + b = 180 (because supplementary angles means their sum is 180)
a = b + 75
substitute the value of a (b+75) into the first equation to get:
b + 75 + b = 180
simplify to get:
b = 52.5
use this value to substitute into any of the 2 equations to get the value of a:
52.5 + 75 = a
a = 127.5
So, the measurements of the two angles are 52.5° and 127.5°

Answer 2

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°