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# If the sum of measures of two angles is ${{90}^{\circ }}$, then the angles are ___________.

Last updated date: 25th Jul 2024
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Hint: To find what are the angles whose sum is ${{90}^{\circ }}$ we will use the definition of types of angles. Firstly we know that ${{90}^{\circ }}$ is a right angle so when two angles are formed in a ${{90}^{\circ }}$ angle we have to find what are they known as.
It is given that the sum of two angles is ${{90}^{\circ }}$.
So when the sum of two angles is ${{90}^{\circ }}$ they are known as complementary angles.
As complementary angles are those that when added up give the angle as ${{90}^{\circ }}$ for example two angles measuring 45 degrees each or two angles measuring 30 and 60 degrees each.
Hence if the sum of measures of two angles is ${{90}^{\circ }}$ then the angles are complementary angles.
Note: An angle is a figure formed when two rays meet at a common endpoint. They are represented by the sign $\angle$ and they are measured in degree using a protractor. The two rays joining to form an angle are known as Arms and the common end point is known as the vertex of the angle. There are many types of angles such as acute angle, Right angle, obtuse angle, Straight angle, Reflex angle and complete angle. Complementary angle and supplementary angles are also a type of angles but in those we have a pair of angles. Complementary angles are pairs of angles whose sum is ${{90}^{\circ }}$ and supplementary angles are pairs of angles whose sum is ${{180}^{\circ }}$. Complementary angles always have positive measure and it is composed of two acute angles.