Respuesta :

Answer:

108°

Step-by-step explanation:

[tex] - 3x + 69 = - 5x + 43 \: \: \\ (corresponding \: \angle s) \\ \\ 5x - 3x = 43 - 69 \\ \\ 2x = - 26 \\ \\ x = \frac{ - 26}{2} \\ \\ x = - 13 \\ \\ - 5x + 43 = - 5( - 13) + 43 \\ = 65 + 43 \\ = 108 \degree \\ \\ \because m \angle \: 4 = - 5x + 43 \\ (vertical \: \angle s) \\ \\ \huge \red{\therefore \: m \angle \: 4 } \pink{=} \purple{ 108 \degree}[/tex]

Answer:

x = -13

Step-by-step explanation:

angles 1 and 5 are congruent (equal) because they are classified as 'corresponding'

-3x + 69 = -5x + 43

2x = -26

x = -13