Один з кутів ромба у 4 рази більший від другого. Обчислити кути ромба. срочно!!!!
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Calculation of the Angles of a Rhombus
To calculate the angles of a rhombus, we need to know the relationship between the two angles mentioned in the question. According to the given information, one angle of the rhombus is four times larger than the other angle.
Let's assume that the measure of the smaller angle is x degrees. Since the larger angle is four times larger, its measure will be 4x degrees.
In a rhombus, all four angles are equal. Therefore, we can calculate the measure of each angle by dividing the total sum of the angles by 4.
The sum of the angles in any quadrilateral is 360 degrees. So, in a rhombus, each angle will measure:
x + 4x + x + 4x = 360
Simplifying the equation:
10x = 360
Dividing both sides of the equation by 10:
x = 36
Therefore, the measure of the smaller angle (x) is 36 degrees, and the measure of the larger angle (4x) is 144 degrees.
Hence, the angles of the rhombus are:
- 36 degrees - 144 degrees - 36 degrees - 144 degrees
Please note that the given information does not specify which angle is larger or smaller, so I assumed one angle to be four times larger than the other.
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