What is the difference between congruent and supplementary




















A Linear Pair is two adjacent angles whose non-common sides form opposite rays. If two angles form a linear pair, the angles are supplementary. If two congruent angles form a linear pair, the angles are right angles. Vertical Angles are two angles whose sides form two pairs of opposite rays straight lines. Vertical angles are located across from one another in the corners of the " X " formed by the two straight lines.

Vertical angles are congruent. Complementary angles can be placed so they form perpendicular lines, or they may be two separate angles. Complements of the same angle, or congruent angles, are congruent. The acute angles of a right triangle are complementary. Supplementary angles can be placed so they form a linear pair straight line , or they may be two separate angles.

The basic concepts of geometry in the present day mathematical form were developed by the ancient Greeks. The principles of geometry stated by Euclid years ago are true today too. The study of angles is important in geometry, and the special cases arising are given identical names for reference.

Two angles are said to be complementary when their sum is equal to 90 0. In other words, it can be said that together they form a right angle. In simple, if two angles are complement to a third angle, the first two angles are equal in size. Consider two angles that are equal in size. The complementary angles of these angles are equal to each other. In fact, cosine of an angle is the sine of its complementary angle.



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