<PRE><B>Question 344496</B>
Let A be the first angle:
The Questions States the following to be true:
Second angle = 3/2A
Third angle = A/2 + 15

sum of the Angles in a Triangle is 180:

{{{A + (3/2)A + (A/2 + 15) = 180}}}
Simplify by mutilplying each term by 2
{{{2A + (3)A + (A + 30) = 360}}}
Combine like terms and Solve:
{{{A =highlight(55)}}} First Angle
Second = 82 1/2   (165/2)
Third = 42 1/2    (85/2)
Check Your Answer:
55 + 82 1/2 + 42 1/2 = 180 

</PRE>