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

Question

Mathematics

Kiera Cooley

3 January, 08:57

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

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Answers (2)

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Beatrice Fernandez · 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

Zoey Mckenzie · Answer 2

17=y 73=x because compliments equal 90