Answer:
(4x + 33)° = 89°
(6x + 5)° = 89°
Step-by-step explanation:
(4x + 33)° = (6x + 5)° (opposite angles)
[tex] {(4x + 33)}^{o} = {(6x + 5)}^{o} \\ 4x + 33= 6x + 5 \\ 33 - 5 = 6x - 4x \\ 28 = 2x \\ \frac{28}{2} = x \\ {14}^{o} = x \\ [/tex]
(4x + 33)° angle,
[tex] {(4x + 33)}^{o} \\ 4(14) + 33 \\ 56 + 33 \\ {89}^{o} \\ [/tex]
(6x + 5)° angle,
[tex] {(6x + 5)}^{o} \\ 6(14) + 5 \\ 84 + 5 \\ {89}^{o} \\ [/tex]
