The measure of two complementary angles are in the ratio 2:3. What is the measurement of the smaller angle

Question

youngnephew34 · Answer

I have a question bout this problem

karolynxx · Answer

Step 1. Let 2x be one angle and 3x be the other angle. The ratio of these two angles is 2x/3x=2/3 as given on the problem. 
Step 2. The two angles must add up to 180 degrees by definition. 
Step 3. Then 2x+3x=180 or 5x=180 which implies that x=36. 2x=72 and 3x=108 
Step 4. The angles are then 72 degrees and 108 degrees. Note the two angles add up to 180 and their ratio is 72/108=2/3 satisfying the problem statement.

youngnephew34 · Answer

yea  but I only had a question

youngnephew34 · Answer

don't you suppose to do 2x3 but nvm

karolynxx · Answer

Oh sorry , what is it?

youngnephew34 · Answer

nvm nvm