Opposite angles are angles across from each other in intersecting lines. For example, see the figure below:
a-> X <- b
Angle 'a' and angle 'b' are equal to each other. The two unnamed angles at the top and bottom of the figure are also equal.
Polygons
Opposite angles are across the axis of the shape from each other, as in a parallelogram (quadrilateral) which has two pairs of opposite angles.
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The opposite angles of a parallelogram are equal so math up the opposite angles.
The diagonals will not always bisect opposite angles in the rectangle.
The diagonals will not always bisect opposite angles in a rectangle.
It will have 2 opposite equal angles of 33 degrees and 2 opposite equal angles of 147 degrees
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.