Two triangles can be formed with the given information. use the law of sines to solve the triangles.

b = 49°, a = 16, b = 14

The answer is:

The first triangle is:

The second triangle is:

To solve the triangles, we must remember the Law of Sines form.

Law of Sines can be expressed by the following relationship:

Where,

a, b, and c are sides of the triangle

A, B, and C are angles of the triangle.

We are given,

So, solving the triangles, we have:

Finding A, we have:

Finding C, we have:

Now, if the sum of all the interior angles of a triangle is equal to 180°, we have:

Finding c, we have:

Then, now that we know C, we need to look for "c":

So, the first triangle is:

Finding A, we have:

Now, since that there are two triangles that can be formed, (angle and its suplementary angle) there are two possible values for A, and we have:

Finding C, we have:

Then, if the sum of all the interior angles of a triangle is equal to 180°, we have:

Then, now that we know C, we need to look for "c".

Finding c, we have:

so, The second triangle is:

Have a nice day!

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step-by-step explanation: