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Linear Pairs. In this session, we will be learning complementary and supplementary angles in detail. When the sum of the measure of two angles is 90 0 , then the pair of angles is said to be complementary angles. In complementary angles one angle is a complement of the other making a sum of 90 0 or you can say forming a right angle. This is an example of complementary angles example. But it is not necessary that the two complementary angles are always adjacent to each other.
They can be different angles, only their sum should be 90 0. When the sum of the measure of two angles is 0 , then the pair of angles is said to be supplementary angles. Here the supplementary meaning is one angle is supplemented to another angle to make a sum of 0. Supplementary angles example. But it is not necessary that the two supplementary angles are always adjacent to each other. They can be different angles, only their sum should be 0.
According to supplementary angles definition two angles are said to be a supplementary angle if the sum of their measures is 0. It is not necessary that a supplementary angle will lie on the same line, they can be on different lines but should measure 0. In the supplementary angles if one is an acute angle then the other is an obtuse angle. In a supplementary angle if one angle is 90 0 the other angle will also be 90 0.
According to supplementary angles definition two angles are said to be a complementary angle if the sum of their measures is 90 0. 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. Two angles are said to be supplementary when their sum is 0.
In another way, two angles residing on any point of the straight line only two angles are supplementary. That is, if both are adjacent and share a common side or a vertex , the other sides of the angles coincide with a straight line. Unlike other angles and terms, it is not important that both of these angles should be together.
For example, if we take two different angles of two separate triangles and the sum of these appears to be 90 degrees or degrees, these angles will be called complementary or supplementary angles respectively. Note that if the sum of two angles is not exactly equal to 90 or degrees then the angles are not complementary or supplementary. It is of utmost importance that the sum should be exactly equal to these figures.
Similarly, the sum of 35 and is equal to and both of these angles are called supplementary. Complementary angles: Two angles whose sum is equal to 90 degrees are called complementary angles.
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