[tex] \it \{x, y, z \} \: \: d.p \: \: \{2, 3, 4 \} \\ \\ \it \frac{x}{2} = \frac{y}{3} = \frac{z}{4} = K \\ \\ \it \frac{x}{2} = K = = > x = 2K \\ \\ \it \frac{y}{3} = K = = > y = 3K \\ \\ \it \frac{z}{4} = K = = > z = 4K \\ \\ \it x \: + \: y \: + \: z = {180 }^{0} \\ \it 2K \: + \: 3K \: + \: 4K = {180}^{0} \\ \it 9K = {180}^{0} \\ \\ \it K = \frac{180 ^{0} }{9} \\ \\ \it K = {20}^{0} \\ \it x = 2K = = > x = 2 \cdot {20}^{0} = = > \mathbf{x = {40}^{0} } \\ \it y = 3K = = > y = 3 \cdot {20}^{0} = = > \mathbf{ y = 60 ^{0} } \\ \it z = 4K = = > z = 4 \cdot {20}^{0} = = > \mathbf{ z = {80}^{0} }[/tex]
