# How do you solve the triangle given #w=20, x=13, y=12#?

##### 1 Answer

"W," "X," and "Y," refer to the angles opposite sides "w," "x," and "y."

#### Explanation:

"W," "X," and "Y," refer to the angles opposite sides "w," "x," and "y."

Start by finding any angle using the Law of Cosines.

Plugging in the numbers, we get:

Therefore,

Simplifying inside of the parentheses, we get:

Therefore, the measure of angle W is about

Next, we can apply the Law of Sines.

Rearranging the numbers, we get:

Therefore,

Therefore, the measure of angle X is about

Lastly, we can apply the truth that the sum of all interior angles in a triangle is

Simplifying, we find the measure of angle Y to be about:

Therefore, the measure of angle W is