Respuesta :

Answer: 121°

Step-by-step explanation:

The measure of angle B will be [tex]121^0[/tex] .

What is angle?

Angle is formed by two rays lie in the plane that contains the rays.

We have,

[tex]m \angle A =(6x-19)^0[/tex]

Now,

Linear pair angles are those angles whose sum is [tex]180^0[/tex] .

i.e.

[tex]m \angle A + m \angle B=180^0[/tex]

So,

[tex](6x-19)^0 +(11x-22)^0 =180^0[/tex]

Now,

[tex]17x-41=180[/tex]

[tex]17x=221[/tex]

[tex]x=13[/tex]

So,

[tex]m\angle B=(11x-22)^0[/tex]

Putting value of x;

[tex]m\angle B=(11*13-22)^0[/tex]

[tex]m\angle B=(121)^0[/tex]

So, measure of angle B is [tex]121^0[/tex].

Hence, we can say that the measure of angle B will be [tex]121^0[/tex] .

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