The friend is wrong - According to the Pythagorean Theorm, if c is the hypotenuse and a and b are opposite sides then c^{2} = a^{2} + b^{2}
if c=65 inches, a=16 inches and b = 63 inches, then
65^{2} =16 ^{2} + 63^{2}
right hand side of the equation = 256 + 3969 = 4225
left hand side of the equation = 65^{2}= 4225
So we see, left hand side = right hand side
Hence the theorm is proved.
Consider the picture, and check the choices:
A. The alternate interior angles, are also called Z angles, because of the Z shape they create.
examples of Z angles, are the green angles and purple angles shown in the picture.
They really look identical (congruent)
B.
No: check the green angles in figure 1, and purple angles if figure 2. they are not acute.
C.
No. In each case, we have the same number of acute angles and obtuse angles,
except case3, where the intersecting line, is perpendicular to the parallel lines.
D.
No, by the same reasoning used in part C. Only when the intersecting line cuts the 2 parallel lines perpendicularly, all the angles are congruent.
Answer: A
I am 1000000% certain it is option C.