<1, <2 and <3 are adjacent angles, with <1 supplementary to <2 and <2 complementary to <3. If m<1 =(8x+3)⁰ and m<2= (5x-18)⁰, find m<3. PLEASE HELP PLEASE ​

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So the first thing we do is to multiply the top equation by 3. the reason i want to do this is i notice there will be a 6y on both equations and can possibly add/subtract them. so we get 6y = -3x + 27. adding that and the second equation we get 6x = 27-15 which is 12. divide by 6 and we get 2. ∴ x = 2. substituting 2 into the first equation we get 2y = -2 + 9 which is 7. divide by 2 and we get 7/2. ∴ y = 7/2, x = 2.