In △MNO, m = 20, n = 14, and m∠M = 51°. How many distinct triangles can be formed given these measurements?

There are no triangles possible.
There is only one distinct triangle possible, with m∠N ≈ 33°.
There is only one distinct triangle possible, with m∠N ≈ 147°.
There are two distinct triangles possible, with m∠N ≈ 33° or m∠N ≈ 147°.

There is only one distinct triangle possible, with m∠N ≈ 33°.   i hope this helps :)

Step-by-step explanation:

In △MNO, m = 20, n = 14, and m∠M = 51°. How many distinct triangles can be formed given these measurements?

There are no triangles possible.

There is only one distinct triangle possible, with m∠N ≈ 33°.

There is only one distinct triangle possible, with m∠N ≈ 147°.

There are two distinct triangles possible, with m∠N ≈ 33° or m∠N ≈ 147°.

a. is correct