The three angles of a triangular flag are x, twice the complement of x, and one-half the supplement of x. find the angle measures

Complement of x is the number that adds to x to get 90

so complement is y so

x+y=90, then solving for y

y=90-x

twice of that

so 180-2x

1/2 the supplement of x

supplement is what adds to it to get 180

let's say it is z

z+x=180

z=180-x

half of that

z/2 = (180-x) / 2

let's

but that other thing is bla, so

(180-x) / 2

x+180-2x + (180-x) / 2=180

since all angles add to 180 in a triangle

add like terms

180-x + (180-x) / 2=180

180-x+90-x/2=180

270-3x/2=180

minus 270 both sides

-3x/2=-90

times 2 both sides

-3x=-180

divide bot sides by - 3

x=60

complement of that is 90-60=30, but twice of that is 60

then 1/2 supplement

180-60=120, half of that is 60

all angles are 60 degrees