sevaershov sevaershov

07-04-2019
Mathematics

contestada

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

pls help i need help asap and btw its not 40 degrees and 50 degrees.

Respuesta :

sqdancefan sqdancefan

16-04-2019

Answer:

The acute angles of the rhombus are 80°; the obtuse angles are 100°.

Step-by-step 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°.

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