One of the angles of △LMN has a measurement of 56°. One of the angles of △PQR has a measurement of 32°. If △LMN and △PQR are similar, what is the measurement of the largest angle of △LMN?

The triangles △LMN and △PQR are similar, which means their corresponding angles are equal.

In a triangle, the sum of all angles is 180°.

In △LMN, one angle is 56°. Let's assume the largest angle is x. The third angle would be 180° - 56° - x = 124° - x.

In △PQR, one angle is 32°. Since the triangles are similar, the angle corresponding to 56° in △LMN would be 32° in △PQR. The largest angle in △PQR would then be 180° - 32° - 32° = 116°.

Since the triangles are similar, the largest angle in △LMN (x) would be equal to the largest angle in △PQR, which is 116°.

So, the measurement of the largest angle of △LMN is 116°.