Question

an angle's mesuare is 6 degrees more than 3 times the measure of its complemtnt. Find the measure of the angle

Answer 1

3 times say "x"...................... 3x

6 more than that.................. 3x + 6

so we have two complementary angles, one measures "x" and the other measures "3x+6", we know complementary angles add up to 90°, so then.

$\bf x+(3x+6)=90\implies 4x+6=90\implies 4x=84\implies x=\cfrac{84}{4}\implies \boxed{x=21} \\\\\\ 3x+6\implies 3(21)+6\implies 69$