Question

the difference in the measure of two complementary angles is 24 find the measures of the angles

Answer 1

let the angles be x and y
then
X+y = 90
x-y =24

so adding both the equation we get
2x= 114
X= 57
so y= 33

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Answer 2

hey there

here is your answer

let the angle be x

its complement will be 90-x

so

x-(90-x)=24

x-90+x=24

2x=114

x=57

complement=33