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2β= 5α
β= 5/2α
2(3α+β)+(3β-4α)+α+β =360
6α+2β+3β-4α+α+β =360
3α+6β =360 /:3
α+2β =120
α+5α =120
6α =120
α=20
β=5/2 *20= 50