Question

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

Answer 1

`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^@`