False
:]
The opposite angles of a quadrilateral inscribed in a circle are supplementary, meaning they add up to 180 degrees. This is due to the property that the sum of the opposite angles of any quadrilateral inscribed in a circle is always 180 degrees. This property can be proven using properties of angles subtended by the same arc in a circle.
They can be but not always because supplementary angles add up to 180 degrees.
In a parallelogram consecutive angles are always supplementary. This means they equal 180.
No. COMPLIMENTARY angles always add up to 90 degrees. SUPPLEMENTARY angles always add up to 180 degrees. you don't really have to know this stuff in later math, but for whatever course you're in right now it would be a vital error to mix them up. but if you are asking if every angle that is supplementary to another is 90 degrees by itself, the answer is still no. a supplementary can be any angle that is less than 180 degrees.
Yes, it can always be divided in 2 triangles. This is because every quadrilateral has 2 diagonals. It is these diagonals that divide the quadrilateral into 2 triangles.
True. In a quadrilateral inscribed in a circumscribed circle (cyclic quadrilateral), the adjacent angles are always supplementary, meaning their measures add up to 180 degrees. This property arises from the fact that opposite angles subtend arcs that sum to a semicircle. Thus, if one angle is known, its adjacent angle can be determined as 180 degrees minus the known angle.
No, they are supplementary.
Yes, the opposite angles of a quadrilateral inscribed in a circumscribed circle (cyclic quadrilateral) are always supplementary. This means that the sum of each pair of opposite angles equals 180 degrees. This property arises from the fact that the inscribed angles subtend the same arc, leading to their supplementary relationship. Thus, if one angle measures (x), the opposite angle will measure (180 - x).
No.
false
Sometimes but not always depending on what type the 4 sided quadrilateral is.
opposite angles are supplementary
Sometimes but not always depending on what type of polygon it is and supplementary angles add up to 180 degrees
always
Two right angles would always be supplementary because the sum of their angles is 180 degrees.
false
The interior angles of a rhombus equal 180 degrees because a rhombus is a type of quadrilateral, and the sum of the interior angles of any quadrilateral is always 360 degrees. In a rhombus, opposite angles are equal, and adjacent angles are supplementary, meaning they add up to 180 degrees. Therefore, if you take any two adjacent angles in a rhombus, their sum will always equal 180 degrees.