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angles are determined by undoing a ratio

trig(angle) = ratio
angle = arctrig(ratio)

which angle are you interested in finding?

both of them

there are 3 angles in a triangle :) I assume you mean the base angles?

yup! sorry bout that

do you have a particular example we can work on?

unfortunately...no :( its a studyguide for finals and i'm reviewing

the law of cosines is the more general form of the pythag thrm:
\[c^2=a^2+b^2-2ab\ cos(C)\]

when the angle C is 90 degrees; that simply reverts the the usual:
c^2=a^2+b^2