Respuesta :

Answer:

x is 7 and m<1 is 99°

Step-by-step explanation:

m<NMQ + m<MQN + m<QNM = 180°

[tex]{ \sf{(5x + 19) + (8x - 11) + (11x + 4) = 180}} \\ { \sf{24x + 12 = 180}} \\ { \sf{24x = 168}} \\ { \sf{x = \frac{168}{24} }} \\ \\ { \sf{x = 7}}[/tex]

m<1 = 180° - (11x + 4)

m<1 = 180° - 81°

m<1 = 99°

Using angle sum property

[tex]\\ \sf\longmapsto 5x+19+8x-11+11x+4=180[/tex]

[tex]\\ \sf\longmapsto 24x12=180[/tex]

[tex]\\ \sf\longmapsto 24x=180-12=168[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{168}{24}[/tex]

[tex]\\ \sf\longmapsto x=7[/tex]

  • <1=11(7)+4=77+4=81[/tex]

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