Question

Lines b and c are parallel.

Answer 1

we know that

a) By corresponding angles

m∠6=m∠2

b) By vertical angles

m∠6=$(5x+9)\°$

so

m∠2=$(5x+9)\°$ --------> equation $1$

c) By supplementary angles

$(13x+9)\°$+m∠2=$180\°$ --------> equation $2$

substitute equation $1$ in equation $2$

$(13x+9)\°+(5x+9)\°=180\°$

$(18x+18)\°=180\°$

$18x=180-18$

$x=9\°$

Find m∠6

m∠6=$(5*9+9)\°$

m∠6=$54\°$

therefore

the answer is

the measure of the angle 6 is $54\°$

Answer 2

The answer should be m angle 6 = 54°