Supplementary
opposite angles are supplementary
Yes
No. A quadrilateral is a parallelogram when consecutiveangles are supplementary.
Every parallelogram is.
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.
A quadrilateral is inscribed in a circle it means all the vertices of quadrilateral are touching the circle. therefore it is a cyclic quadrilateral and sum of the opposite angles in cyclic quadrilateral is supplementary. suppose if one angle is A then another will be 180 degree - angle A.
Supplementary (they add to 180 degrees).
Uh ya
opposite angles are supplementary
Yes, a parallelogram inscribed in a circle must be a rectangle. This is because a circle's inscribed angle theorem states that the opposite angles of a cyclic quadrilateral (a quadrilateral inscribed in a circle) must be supplementary. In a parallelogram, opposite angles are equal, which can only hold true if all angles are right angles, thus making the parallelogram a rectangle.
opposite angles in which type of quadrilateral?
No. For example, if one angle measures 100 degrees, and its adjacent angle is 80 degrees, then the opposite angles would be either 200 or 160 degrees, but in order for a quadrilateral to be inscribed in a circle the opposite angles would have to equal 180 degrees. A parallelogram can be inscribed in a circle if it is a rectangle.
Yes, the opposite angles in a regular quadrilateral are equal.
False. If both pairs of opposite angles of a quadrilateral are congruent then the quadrilateral is a parallelogram.
- Opposite angles are two angles that don't share a side. A quadrilateral has two pairs of them. - Adjacent angles are angles that share one side. A quadrilateral has four pairs of them.
For the quadrilateral to be a parallelogram, both pairs of opposite angles must be congruent.