We know that the length of a side is 18 and that the measure of its opposite angle is 63^(∘). We also know that the measure of the angle that is opposite to the side we want to find is 71^(∘). With this information and using the Law of Sines, we can write an equation in terms of x.
sin 63^(∘)/18=sin 71^(∘)/x
Let's solve our equation!
We can find the third interior angle using the Triangle Angle Sum Theorem.
∠ B=180^(∘)- 63^(∘)- 71^(∘)
⇕
∠ B= 46^(∘)
Consider the triangle with the new information.
We know that the length of a side is 18 and that the measure of its opposite angle is 63^(∘). We want to find the length of the side that is opposite to the angle whose measure is 46^(∘). We can use the Law of Sines again!
sin 63^(∘)/18=sin 46^(∘)/y
Let's solve the above equation for y using the Cross Product Property.
