does a rhombus has opposite angles that are supplementary
yep they do..a rhombus' angles are all equivalent..so 360/4angles= 90 degrees each so if you add 90 and 90 = 180
and thus suplementary (180 deg)
What do you mean by "opposite angles" ?
The angles on the opposite sides of a rhombus are the same. The adjacent angles are supplementary. The same is true of a parallelogram.
A rhombus is a parallelogram with all sides equal in length. It has opposite sides that are parallel and opposite angles that are equal. In a rhombus, the adjacent angles are supplementary, meaning that their sum is 180 degrees. Therefore, if you have two opposite angles in a rhombus, they will also be supplementary.
To determine if a rhombus has opposite angles that are supplementary, you need to understand the properties of a rhombus.
A rhombus is a quadrilateral with all sides of equal length. It also has opposite angles that are equal. This means that if one angle is x degrees, then the opposite angle must also be x degrees.
To find out if the opposite angles of a rhombus are supplementary, we need to check if their sum is 180 degrees.
Since a rhombus has four equal angles, let's call each angle in the rhombus "A".
To find the measure of angle A, we can use the formula for the sum of angles in a quadrilateral. The sum of angles in a quadrilateral is always 360 degrees.
So, if the measure of each angle in a rhombus is A, we can set up the equation:
4A = 360
This equation represents the sum of all the angles in the rhombus.
To find the measure of each angle A, we can divide both sides of the equation by 4:
A = 360/4
Simplifying the equation gives:
A = 90
Therefore, each angle in a rhombus measures 90 degrees.
Now, let's check if the opposite angles of a rhombus are supplementary.
Supplementary angles are angles that add up to 180 degrees.
In a rhombus, the opposite angles are equal, so let's call them angle X and angle Y.
Since each angle in a rhombus measures 90 degrees, we can say:
angle X = 90 degrees
angle Y = 90 degrees
Now, let's check if these opposite angles are supplementary by adding them together:
angle X + angle Y = 90 degrees + 90 degrees = 180 degrees
As we can see, the sum of the opposite angles in a rhombus is indeed 180 degrees, which means that the opposite angles of a rhombus are supplementary.