The sum of the measures of two complementary angles is 90degrees°. If one angle measures 9 degrees° more than twice the measure of the other, find the measure of the smaller angle?
1 Answer
Nov 12, 2017
Explanation:
#"let the smaller angle "=x#
#"then the other angle "=2x+9#
#rArrx+2x+9=90larrcolor(blue)"sum is "90^@#
#rArr3x+9=90#
#"subtract 9 from both sides"#
#rArr3x=81#
#"divide both sides by 3"#
#rArrx=27"#
#"smaller angle "=x=27^@#
#"larger angle "=2x+9=(2xx27)+9=63^@#
#"note that "27^@+63^@=90^@#
