false
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.
Yes, a parallelogram is always a quadrilateral. By definition, a parallelogram is a four-sided figure (quadrilateral) with opposite sides that are parallel and equal in length. Therefore, every parallelogram meets the criteria of being a quadrilateral.
square
Diagonally opposite pairs of angles will always be equal, but the only time all angles in a quadrilateral parallelogram are equal is when that shape is a rectangle.
That depends on what type of a 4 sided quadrilateral it is but in generals the 4 interior angles of any quadrilateral always add up to 360 degrees.
No, they are supplementary.
False :]
always
a circumscribed triangle is a circumscribed triangle and will always be
A square, always, a rhombus, always, a parallelogram, always, and rectangles, always.
Yes, a parallelogram is always a quadrilateral. By definition, a parallelogram is a four-sided figure (quadrilateral) with opposite sides that are parallel and equal in length. Therefore, every parallelogram meets the criteria of being a quadrilateral.
opposite angles are supplementary
It is a rectangle.
square
false
Diagonally opposite pairs of angles will always be equal, but the only time all angles in a quadrilateral parallelogram are equal is when that shape is a rectangle.
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.