Answer :

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°

  • m<1 and m<2 are linear pairs

[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]

  • <3=<2=5(12)-5=60-5=55°

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