Question

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

Answer 1

Answer:

$83^{\circ}$

Step-by-step explanation:

Let $C$ be the point that denotes the pier.

$m\angle B=58^{\circ}$

$m\angle A=39^{\circ}$

The angle between A and B is C

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

The measure of the angle between Ship A and Ship B is $83^{\circ}$.