Question 20 Answer and Explanation _ACT January 2003 Form 59F Math Section

20. For all triangles △XYZ where side XZ is longer than side YZ, such as the triangle shown below, which of the following statements is true?

F. The measure of ∠X is always less than the measure of ∠Y.

G. The measure of ∠X is always equal to the measure of ∠Y.

H. The measure of ∠X is always greater than the measure of ∠Y.

J. The measure of ∠X is sometimes less than the measure of ∠Y and sometimes equal to the measure of ∠Y.

K. The measure of ∠X is sometimes greater than the measure of ∠Y and sometimes equal to the measure of ∠Y.

Answer and Explanation

Your Answer is

Correct Answer is F

Explanation

Since the opposite side of ∠X < the opposite side of ∠Y, ∠X < ∠Y. Choose F.