Answer to Question #14991 in Geometry for Abby
5a = 3b
b-30 = (b-a)/2
Let's solve this system.
5a = 3b ==> a = 3b/5
b-30 = (b-3b/5)/2
b-30 = b/2 - 3b/10
4b/5 - 30 = 0
b = 37.5
a = 3*37.5/5 = 22.5.
So, the smaller angle has measure of 22.5° and the larger one 37.5°.
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