The ratio of the measures of two supplementary angles is 2:7. How do you find the measures of the angles?

1 Answer
Mar 29, 2017

Answer:

#40^@" and " 140^@#

Explanation:

#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(" the sum of 2 supplementary angles" = 180^@)color(white)(2/2)|)))#

#"sum the parts of the ratio"#

#rArr2+7=9" parts in total"#

Find the value of 1 part by dividing #180^@" by " 9#

#rArr180^@/9=20^@larrcolor(red)" value of 1 part"#

#rArr"2 parts " =2xx20^@=40^@#

#rArr"7 parts " =7xx20^@=140^@#

#"Thus the supplementary angles are " 40^@" and " 140^@#