In triangle ABC and triangle XYZ, the measures of angles A and X are …

Question

Prompt

In triangle ABC and triangle XYZ, the measures of angles A and X are each

2 0^{\circ}

, and the lengths of AB and XY are each 16 centimeters. Which of the following additional pieces of information is (are) sufficient to prove that triangle ABC is congruent to triangle XYZ? I. The measures of angles C and Z are each

2 5^{\circ}

. II.

A B / A C = X Y / X Z

I is sufficient, and II is sufficient.

II is sufficient, but I is not.

Neither I nor II is sufficient.

I is sufficient, but II is not.