Question

Please don't answer just to say "I don't know"
Thank you

Answer 1

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.

Answer 2

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