The difference between three times the measurement of the complement of an angle and the measurement of the supplement of that angle is 20 degrees. What is the measurement of that angle?

Supplement means adds to 180

coplememtn means add to 90

if the angle is x then

supplemem of that angle

x+y=180

coplement

x+z=90

difference between

3 times complement

and supplement is 20

3z-y=20

look back

x+y=180

x+z=90

solve for z and y

y=180-x

z=90-x

subsitute

3 (90-x) - (180-x) = 20

distribute

270-3x-180+x=20

add like terms

90-2x=20

subtract 90 from both sides

-2x=-70

divide both sides by - 2

x=35

the angle is 35 degrees