BB1 pg. 807 #15 Math problem

<p>can anyone help me with this problem?</p>

<p>If numerous right triangles share the same height (line segment XY in this case), the triangle with the longest base has the base angle with the lowest measure. You can determine that DY is the longest base since it is the diagonal of the square. Thus, the corresponding angle to that base would have the lowest measure, which is XDY, or choice D.</p>