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

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

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Answer 1 · 2017-03-29T13:16:41

$40^@" and " 140^@$

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 $180^@" by " 9$

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

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

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

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

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

1 Answer

Explanation:

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