- The ratio of the measure of the supplement of an angle to
that of the complement of the angle is 5:2. Find the
measure of the supplement.
Not sure how to set it up.
- The ratio of the measure of the supplement of an angle to
that of the complement of the angle is 5:2. Find the
measure of the supplement.
Not sure how to set it up.
I got the idea.
5(90 - x) = 2(180 - x)
450 - 5x = 360 - 2x
90 = 3x
30 = x
180 - 30 = 150
Why would i get a different answer is I set it up as
5(180 - x) = 2(90 -x) ?
What is the key part in the question that makes our expression be 5(90 -x) = 2(180 -x)
the wording is pretty clear
supplement is (180-x)
complement is (90-x)
it says the ratio of the measure of the supplement of an angle to that of the complement, i.e.
(180-x)/(90-x)
is 5:2, i.e.
5/2
so the problem states that
(180-x)/(90-x) = 5/2 ==> 2(180-x) = 5(90-x)
it doesn't state it the other way around and they aren't the same equation so you should expect a different answer.