Answer:
The acute angles of the rhombus are 80°; the obtuse angles are 100°.
Explanation:
Since each diagonal bisects the angle of the rhombus, the given conditions are the same as saying the angles of the rhombus are in the ratio 4:5. Adjacent angles add to 180°, and the sum of the ratio units is 4+5=9. So each ratio unit stands for 180°/9=20° of angle, and the angles are ...
80° : 100°
The angles of the rhombus are 80° and 100°.