Question

Lines b and c are parallel.

Answer 1

Answer:

mAngle6 = 54°

Step-by-step explanation:

Got it right  (100%)

Answer 2

Answer:

$m\angle 6=54^o$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the value of x

we know that

$(13x+9)^o+(5x+9)^o=180^o$ ----> by consecutive exterior angles (supplementary angles)

solve for x

$(18x+18)^o=180^o\\18x=162\\x=9$

step 2

Find the measure of angle 6

we know that

$m\angle 6=(5x+9)^o$ ----> by vertical angles

substitute the value of x

$m\angle 6=(5(9)+9)=54^o$