The measure of angle xx is 25 more than 4 times the measure of its complement. Find the measure of xx.

17=y 73=x because compliments equal 90

The complement is what adds to an angle to get 90 degrees

so

x is 25 mroe than 4 times y

x+y=90

x=25+4y

sub 25+4y for x

25+4y+y=90

25+5y=90

minus 25 both sides

5y=65

divide both sides by 5

y=13

sub back

x+y=80

x+13=90

x=77 degrees