Question

Кут між бічною стороною і діагоналлю ромба 50 градусів.Знайти гострий кут ромба?

Answer 1

Відповідь:

80 градусів

Покрокове пояснення:

50+50=100 - тупий кут,

сума суміжних кутів у ромба = 180

180-100=80 - гострий кут

Answer 2

Definition of a Rhombus

A rhombus is a quadrilateral with all four sides of equal length. The opposite angles of a rhombus are equal, and the diagonals bisect each other at right angles.

Finding the acute angle of a rhombus

To find the acute angle of a rhombus, we need to use the given information that the angle between one of the sides and a diagonal is 50 degrees.

Let's assume that the acute angle of the rhombus is denoted by x.

Since the diagonals of a rhombus bisect each other at right angles, we can conclude that the angle between the diagonal and the side is equal to half of the acute angle of the rhombus.

Therefore, we can set up the following equation:

50 degrees = x/2

To find the value of x, we can multiply both sides of the equation by 2:

2 * 50 degrees = x

Simplifying the equation:

100 degrees = x

Therefore, the acute angle of the rhombus is 100 degrees.

Please note that the acute angle of a rhombus is always less than 90 degrees, so the answer of 100 degrees is valid.

I hope this helps! Let me know if you have any further questions.