Question

If the length of a diagonal of a rectangle is twice the length of one of the sides of this rectangle, then what are the angle measurements between the diagonals?

Answer 1

120 and 60

Explanation:

I have this same problem on my homework(coughduetmmrwironicallycough) and was extremely confused by the wording that it uses. What the question is asking is when the 2 diagonals intersect, what are the measurements of the angles formed in the center of that rectangle.

since 1 diagonal is twice the length of one side we can assume that the right angles are split into 30 and 60 degree angles. after doing this you will have 4 isosceles triangles and 2 angle measurements in each. since the angles of a triangle always add up to 180 we can calculate the 3rd angles

1. 180-(30+30)=120

2.180-(60+60)=60