Question

Сторона ромба утворює з однією з його діагоналей кут 68градусів.знайти кути ромба

Answer 1

Диагонали ромба - его биссектрисы
Значит, угол 1 = 68*2 = 136
Угол 2 = 180-136=44
Угол 3= угол 1= 136
Угол 4 = угол 2 =44

Answer 2

The Angles of a Rhombus

A rhombus is a quadrilateral with all sides of equal length. The opposite angles of a rhombus are congruent, meaning they have the same measure. In this case, we are given that one of the angles formed by a side of the rhombus and one of its diagonals is 68 degrees.

To find the measures of the other angles of the rhombus, we can use the fact that the sum of the angles in any quadrilateral is always 360 degrees. Since a rhombus is a special type of quadrilateral, we can use this property to find the measures of the other angles.

Let's denote the measure of the given angle as x. Since the opposite angles of a rhombus are congruent, the opposite angle will also measure x degrees. Therefore, the sum of these two angles is 2x.

To find the measures of the other two angles, we subtract the sum of the given angles from 360 degrees. This gives us:

360 - 2x

Let's substitute the given angle of 68 degrees into the equation:

360 - 2(68)

Simplifying the equation:

360 - 136

The result is 224 degrees.

Therefore, the measures of the angles of the rhombus are:

- The given angle: 68 degrees - The opposite angle: 68 degrees - The other two angles: 224 degrees each.

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