In Triangle XYZ, measure of angle X = 49° , XY = 18°, and YZ = 14°. Find the measure of angle Y.

There are two choices for angle Y: for , for .

Step-by-step explanation:

There are mistakes in the statement, correct form is now described:

In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:

The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:

(1)

If we know that , and , then we have the following second order polynomial:

(2)

By the Quadratic Formula we have the following result:

There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:

1)

2)

There are two choices for angle Y: for , for .

the answer is 0.3175 hope that you ^w^

also you might actually want to put this picture up if you want people to solve it luckily i remember this question