A sailor on Ship A measures the angle between Ship B and the pier and finds it to be 39°. A sailor on Ship B measures the angle between Ship A and the pier and finds that it is 58°. What is the measure of the angle between Ship A and Ship B?


The measure between Ship A and Ship B is

Respuesta :

Answer:

[tex]83^{\circ}[/tex]

Step-by-step explanation:

Let [tex]C[/tex] be the point that denotes the pier.

[tex]m\angle B=58^{\circ}[/tex]

[tex]m\angle A=39^{\circ}[/tex]

The angle between A and B is C

[tex]m\angle A+m\angle B+m\angle C=180^{\circ}\\\Rightarrow m\angle C=180^{\circ}-(m\angle A+m\angle B)\\\Rightarrow m\angle C=180^{\circ}-(58^{\circ}+39^{\circ})\\\Rightarrow m\angle C=83^{\circ}[/tex]

The measure of the angle between Ship A and Ship B is [tex]83^{\circ}[/tex].

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