Question

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

Answer 1

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

Answer 2

17=y 73=x because compliments equal 90