Respuesta :

[tex]\\ \sf\longmapsto 17x-6=5x+18[/tex]

[tex]\\ \sf\longmapsto 17x-5x=18+6[/tex]

[tex]\\ \sf\longmapsto 12x=24[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{24}{12}[/tex]

[tex]\\ \sf\longmapsto x=2[/tex]

Now

[tex]\\ \sf\longmapsto \angle{MBT}[/tex]

[tex]\\ \sf\longmapsto 5x+18[/tex]

[tex]\\ \sf\longmapsto 5(2)+18[/tex]

[tex]\\ \sf\longmapsto 10+18[/tex]

[tex]\\ \sf\longmapsto 28[/tex]

SDCInfinity

Answer:

m∠MBT = 28°

Step-by-step explanation:

BN is an angle bisector. This makes ∠NBM and ∠MBT equal.

[tex]17x-6=5x+18\\12x-6=18\\12x=24\\x=2[/tex]

Finally, substitute the value for the variable.

[tex]5(2)+18\\10+18\\28[/tex]

Therefore, m∠MBT = 28°.

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