Geometry Help PLZ!!!!!!?

Question

I have to decide whether the statement is true or false. and if its false i have to explain why.

Okay heres the question from the textbook:

If an angle is acute, then its complement must be greater than its supplement.

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this geometry c**p sucks.

thanks for the helpp =]]

Answer 1

Let x be the acute angle

by definition of acute, x < 90

The complement, defined as c = 90-x (so that x+c = 90)

The supplement, defined as s = 180-x (so that x+s = 180)

Now how could we show the proposition that x's complement is greater than its supplement?

Well, we could ASSUME that the the proposition is TRUE, and if it is true then

c-s > 0; let us see:

c-s = (90-x) - (180-x) = -90 which is < 0, therefore the proposition is FALSE and the above is Why

This stuff was always hard for me; hope that this helps