SOLUTION: the sum of angles is 90 degrees.the angles are in the ratio 2:3 find the measure of each angle.

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Question 831077: the sum of angles is 90 degrees.the angles are in the ratio 2:3 find the measure of each angle.
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming these are two complementary angles.
Let A be the larger angle.
Let B be the smaller angle.
.
We're told in the problem the following:
A + B = 90
A:B = 3:2
.
The easiest way to do this is to see that the ratio contains "5". Divide the sum of the angles.
90/5 = 18
Then multiply the ratio.
18*2 and 18:3
36:54 is the same ratio as 2:3
36+54 = 90
Success!