Lines b and care parallel.
What is the measure of 26?
m26 = 45°
m26 = 54°
(13x+9)/2
3/4
m26= 117
5/6
(5x+9)/8
m26 = 126°

∠ 6 = 54°

Step-by-step explanation:

∠ 4 and (13x + 9) are vertical and congruent, thus

∠ 4 = 13x + 9

∠ 6 and (5x + 9) are vertical and congruent, thus

∠ 6 = 5x + 9

∠ 4 and ∠ 6 are same- side interior angles and supplementary, thus

∠ 4 + ∠ 6 = 180, substitute values

13x + 9 + 5x + 9 = 180, that is

18x + 18 = 180 ( subtract 18 from both sides )

18x = 162 ( divide both sides by 18 )

x = 9

Thus

∠ 6 = 5x + 9 = 5(9) + 9 = 45 + 9 = 54°

dd

step-by-step explanation:

dd