Find the measure of two complementary angles if the measure of one angle is 5/8 the measure of the other. What is the measure of the larger angle? What is the measure of the smaller angle?

Answer 1

(3/8) * 90 = 270/8 = ?

Answer 2

idk the formula, but simply taking ⅝ of 90° is not correct.
I would convert the fractions to decimals, giving you 0.625 and 0.375 (you can drop the zeros in your calculations, just don't forget the decimal!).

Then, ***MAYBE***: 0.375:n = 0.625:(n * 0.375), where n is the larger angle (I never have been good with ratios!)

Or, maybe: (.375 • n) + n = 90

Trial and error yields this:
55.375/34.625 = .625282
55.38 34.62 = .6251354
34.618/55.382 = .6250767, and
34.615/55.385 = .6249887;
but, there's got to be a better way!

Ms. Sue may very well be on the right track, but it seems that's just taking ⅝ and 3/8 of 90. The results of those calcs are 33.75 and 56.25, and the smaller is not ⅝ the larger (56.25 * .625 = 35.15625, not 33.75).

Clear as mud? Look up ratios and see if you can't apply them here.

Or, as Richard Bach wrote in "Illusions, the Adventures of a Reluctant Messiah,"
>Everything in this book may be wrong.<

Hope this helps!

Answer 3

one angle is 5x and the other is 8x

So, 5x+8x = 90
x = 90/13

Now you can figure the two angles.