Respuesta :

Answer:

Option A

Step-by-step explanation:

The complete question is shown in the attachment.

The sum of angles in a triangle is 180 degrees.

This implies that:

[tex]m\angle A+85+53=180[/tex]

m<A+138=180

m<A=180-138=42

Now we use the sine rule to find AC=b

[tex]\frac{b}{\sin 85}=\frac{85}{\sin 42}[/tex]

This implies that:

[tex]b=\frac{85}{\sin 42}*\sin 85[/tex]

[tex]b=126.5[/tex]

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