Q:

Find the angles of the rhombus if the ratio of the angles formed by the diagonals and the sides is 4:5.

Accepted Solution

A:
Answer: The angles are 100 degrees, and 80 degrees. Here's an explanation:It says that the ratio of the angles are 4:5. In a rhombus, the opposite angles are equal to each other. So, the it would be (4*2)+(5*2) = 360 degrees, since the ratio symbolizes the angle measurements. So, if you calculate that, then 18 units is 360 degrees. 4 units is 80 degrees, and 5 units is 100 degrees.