Respuesta :

musiclover10045

8x+15 = 2x+39

8x =2x+24

6x = 24

x = 24/6 = 4

 angle 4 = 2(4) +39 = 8+39 = 47

 angle 6 = angle 4

angle 6 = 47 degrees
m<6 = m<4  = 2x + 39              (vertical angles)
and m < 1  is also  = m<4       (corresponding angles)

Therefore  we have:-

2x + 39  = 8x + 15   Solving for x:-

2x - 8x = 15 - 39
-6x = - 24

x = 4

So the measure of <6 =  2(4) + 39  =  47 degrees.