Question 447953
x = angle
Since a complement of angle x means that the complement plus the angle add up to 90 degrees, the expression of the complement would be 90 - x
"angle...is half of its own complement"
angle = {{{1/2}}}(complement)
{{{x = (1/2)(90 - x)}}}
Distribute the one-half into the 90 and -x: {{{x = 45 - x/2}}}
Multiply both sides by 2 to clear fraction: {{{2x = 90 - x}}}
Add x to both sides: {{{3x = 90}}}
Divide both sides by 3: {{{x = 30}}}
***THEREFORE, THE ANGLE THAT IS HALF OF ITS OWN COMPLEMENT IS (A) 30