The angles formed by the side of the rhombus with its diagonals are 5: 4. Find the corners of a rhombus

As we know, the diagonals of a rhombus divide its corners in half.

Thus, they will correlate in the same way as the angles that were formed by the side of this figure and its diagonals, that is, 5 to 4.

Let us express one part of the angle, for which we use the variable a.

Consequently, we can write the larger angle in the form of 5 a, while the smaller one is 4a.

Since the sum of the same angles is 180 °, we write down the equation and find them:

5a + 4a = 180;

9a = 180;

a = 20;

5 * 20 = 100;

180 – 100 = 10.

Answer: 2 at 100 ° and 2 at 80 °.