Respuesta :

Answer:

x= 36

z=109

Step-by-step explanation:

71 and 5x-109 are alternate exterior angles.  That means they are equal

71 = 5x-109

Add 109 to each side

71+109 = 5x-109+109

180 = 5x

Divide each side by 5

180/5 = 5x/5

36 =x

We know that z  and  5x-109  are supplementary angles

z+ 5(36)-109 = 180

z+180 - 109= 180

z+71 = 180

Subtract 71 from each side

z+71-71=180-71

z = 109

Answer:

x = 36°

x = 109°

Step-by-step explanation:

71 = 5x - 109

5x = 180

x = 36°

z = 180 - 71 = 109°