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Opposite angles, also known as vertical angles, are formed when two lines intersect. The intersecting lines create pairs of angles that are opposite each other. Because the sum of angles around a point is 360 degrees, and the adjacent angles formed by the intersecting lines are supplementary (add up to 180 degrees), the opposite angles must be equal to maintain this balance. Thus, vertical angles are always equal.
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Does a parallelogram always have four sides?
Yes, and its opposite sides are always equal and its opposite angles are always equal. The angles and the sides can be any size.
Does a rhombus always have 4 equal sides and angles?
It always has 4 equal sides but not 4 equal angles because it has 2 equal opposite acute angles and 2 equal opposite obtuse angles. The 4 interior angles add up to 360 degrees
Are opposite angles always equal in trapezoids?
They are never equal.
If a quadrilateral is a parallelogram will it always have equal angles?
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.
Are opposite angles equal?
yes opposite angles are equal
Opposite angles of all parallelograms are always?
opposite angles of all parallelograms are always equal.
Does a parallelogram always have four sides?
Yes, and its opposite sides are always equal and its opposite angles are always equal. The angles and the sides can be any size.
Does a rhombus always have 4 equal sides and angles?
It always has 4 equal sides but not 4 equal angles because it has 2 equal opposite acute angles and 2 equal opposite obtuse angles. The 4 interior angles add up to 360 degrees
Are opposite angles always equal in trapezoids?
They are never equal.
If a quadrilateral is a parallelogram then its opposite angles are always supplementary?
False because it will have 2 equal opposite obtuse angles and 2 equal opposite acute angles with the 4 angles adding up to 360 degrees.
If a quadrilateral is a parallelogram will it always have equal angles?
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.
Are opposite angles always equal in isosceles trapezoid?
They are, yes.
What are allied angles?
Allied (or co-interior) angles are supplementary. Vertically opposite angles are always equal.
Are the interior angles of a parallelogram always congruent?
Only if it is a rectangle otherwise it has equal opposite acute angles and equal opposite obtuse angles and the 4 interior angles add up to 360 degrees
Are opposite angles equal?
yes opposite angles are equal
What is a quadrilateral with 2 pairs of equal sides and 2 pairs of opposite angles that are equal?
A quadrilateral with two pairs of equal sides and two pairs of opposite angles that are equal is known as a parallelogram. In a parallelogram, opposite sides are equal in length, and opposite angles are equal in measure. Additionally, the sum of the interior angles is always 360 degrees. Examples of parallelograms include rectangles, rhombuses, and squares.
Vertically opposite angles formed by two intersecting lines are always what?
equal
