linear pair
A pair of adjacent angles whose non-common sides are opposite rays are called a linear pair. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
A quadrilateral with 4 right angles and opposite sides that are parallel can be either a rectangle if the adjacent sides are of different length or a square if the adjacent sides are of the same length.
All quadrilaterals apart from rectangles. Even parallelograms have adjacent angles that are not equal.
Rectangle: A quadrilateral with 4 right angles, diagonals congruent/bisecting, and opposite sides congruent, BUT ADJACENT SIDES ARE NOT CONGRUENT. Rhobus: A quadrilateral with opposite congruent angles, but adjacent angles are Not congruent, perpendicular bisecting diagonals and 4 congruent sides. Square: A quadrilateral that is a rectangle and a square with 4 right angles, diagonals congruet/bisecting that ar perpendicular, and opposites sides congruent.
In that triangle, one of the angles must be a right angle, and another one of the angles must be marked with or the measurement of the angle. Tangent is the ratio of opposite side over adjacent side. The opposite and adjacent sides are determined by the position of the marked angle.
-- Opposite sides are parallel. -- Opposite sides are equal. -- All four sides are equal. -- Adjacent sides are equal. -- Adjacent angles are supplementary. -- Opposite angles are equal. -- Diagonals are perpendicular. -- Interior angles sum to two straight angles. -- Exterior angles sum to two straight angles.
A pair of adjacent angles whose non-common sides are opposite rays are called a linear pair. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
square and a rectangle
A pair of adjacent angles whose non-common sides are opposite rays are called a linear pair. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
A quadrilateral with 4 right angles and opposite sides that are parallel can be either a rectangle if the adjacent sides are of different length or a square if the adjacent sides are of the same length.
The non-common sides of two adjacent and complementary angles form a straight angle. Complementary angles are two angles that sum up to 90 degrees, and since they share a common vertex and one side, the other sides point in opposite directions, creating a straight line. Thus, the angle formed by the non-common sides is 180 degrees.
That would be a right angle: The measure of complementary angles adds up to 90 degrees. Adjacent angles are angles that share one common side and one common vertex, but no common interior points (the angles don't overlap). The non-common sides of two adjacent angles are the two "outside" sides (the unshared sides). Two adjacent and complementary angles would form a right angle split by a ray/line, and not necessarily bisected (perfectly divided in half).
Yes, two adjacent angles whose exterior sides are opposite rays are complementary. This is because the angles formed by the opposite rays sum up to 180 degrees, and since they are adjacent, their measures add up to 90 degrees, fulfilling the definition of complementary angles. Thus, the two angles are indeed complementary.
All squares have TWO SETS of opposite, parallel sides. A square is a parallelogram with 4 equal sides and 4 equal angles (right angles) of which adjacent sides are perpendicular. The related parallelogram, the rhombus, or "diamond" shape, also has 4 equal sides, but no right angles, where opposite angles are equal and adjacent angles are supplementary (sum to 180 degrees).
No? Wouldn't they then be supplementary? Opposite rays make a straight angle/line, and if the exterior sides made the straight angle, the adjacent angles would be supplementary. ...Right?
a linear pair!
Not clear what exactly the question is.