Which of the following statements is true if m∠E = m∠Y and m∠F = m∠X? A. m∠E > m∠Z B. The measure of each segment in ΔYXZ is three times the size of those in ΔEFG. C. ΔEFG ≅ ΔYXZ D. There is a sequence of rigid motions and dilations that map ΔEFG onto ΔYXZ.

D. There is a sequence of rigid motions and dilations that map ΔEFG onto ΔYXZ.

Step-by-step explanation:

In the picture attached, the triangles are shown.

We know that m∠E = m∠Y and m∠F = m∠X,

AA (angle-angle) Similarity Postulate states that two triangles are similar if two angles in one triangle are congruent to two angles in another triangle.

Therefore, ΔEFG and ΔYXZ are similar. In consequence, there is a sequence of rigid motions and dilations that map ΔEFG onto ΔYXZ.

answer: x=60