Answer:
[tex]x = {7}^{o} \\ z = {63}^{o} [/tex]
Step-by-step explanation:
[tex] {(10x - 7)}^{o} + {(5x + 82)}^{o} = {180}^{o} \\ 10x - 7 + 5x + 82 = {180}^{o} \\ 15x + 75 = {180}^{o} \\ 15x = {180}^{o} - 75 \\ 15x = {105}^{o} \\ x = \frac{ {105}^{o} }{15} \\ x = {7}^{o} \\ [/tex]
(10x-7)° = z° (opposite angles)
[tex] {(10x - 7)}^{o} = {z}^{o} \\ 10(7) - 7 = {z}^{o} \\ 70 - 7 = {z}^{o} \\ {63}^{o} = {z}^{o} \\ [/tex]
