Which best describes the relationship between the two triangles below?

Triangle M L N is similar to Triangle F G H because of the third angle theorem, Angle M is congruent to angle F, Angle L is congruent to angle G, and Angle N is congruent to angle H.

Triangle M L N may or may not be similar to Triangle F G H because the third angle is unknown.

Triangle M L N is similar to Triangle F G H because of the angle-angle criterion, Angle M is similar to angle F, Angle L is similar to angle G, and Angle N is similar to angle H.

Triangle M L N may or may not be similar to Triangle F G H because the side lengths are unknown.

Given:

In the given ΔLMN, ∠M = 51° and ∠L = 36°

And,

In ΔFGH, ∠F = 51° and ∠G = 36°

To find the suitable option from the given options.

Formula

By Third angle theorem, we have,

If two angles in one triangle are congruent to two angles in another triangle, then the third pair of angles must also congruent.

In given two triangles

ΔLMN and ΔFGH

∠M = ∠F = 51° and

∠L = ∠G = 36°

So, it satisfies the condition of third angle theorem.

Hence,

We can conclude that, Triangle M L N is similar to Triangle F G H because of the third angle theorem, Angle M is congruent to angle F, Angle L is congruent to angle G, and Angle N is congruent to angle H.

Thus, Option a is the correct answer.