Answer:
D)m∠X + m∠Y < 90°
Step-by-step explanation:
Given: In triangle XYZ, m∠Z > m∠X + m∠Y.
In a triangle the sum of the interior angles is 180 degrees.
m∠Z is greater than the sum of the angles X and Y.
Two angles cannot be equal to or greater than 90 degrees because the sum of the angles exceeds 180 degrees.
Therefore, the sum of the angles X and Y must be less 90 degrees.
So, answer is D)m∠X + m∠Y < 90°