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Answer:
m∠3 = 55°
Step-by-step explanation:
m∠1 = m∠4 (parallel lines with same angle)
m∠2 = m∠3 (parallel lines with same angle)
apply whole angle measure equals to 360°
11x -7 + 5x - 5 + 11x -7 + 5x - 5 = 360
32x -24° = 360°
32x = 384°
x = 12°
Therefore
m∠3 = 5x - 5
m∠3 = 5(12) - 5
m∠3 = 55°
[tex]\\ \tt\hookrightarrow 11x-7+5x-5=180[/tex]
[tex]\\ \tt\hookrightarrow 16x-12=180[/tex]
[tex]\\ \tt\hookrightarrow 16x=192[/tex]
[tex]\\ \tt\hookrightarrow x=12[/tex]