
What is the difference between complementary and supplementary angles?
Answer
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Hint: From the given question we are asked to find the difference between complementary and supplementary angles. For solving this question we will take the help of the definitions of the complementary and supplementary angles and explain them briefly. After explaining them briefly we will find the difference between them and solve our given question.
Complete step by step solution:
In mathematics, we can use the sum of the measures of angles to classify angles as various types. That is, if the sum of a pair of angles is equal to certain values, then they fall into the categories defined by that sum.
Supplementary angles and complementary angles are defined with respect to the addition of two angles.
If the sum of two angles is \[{{180}^{\circ }}\] degrees then they are said to be supplementary angles, which forms a linear angle together. We have example as
Whereas if the sum of two angles is \[{{90}^{\circ }}\] degrees, then they are said to be complementary angles, and they form a right angle together. We have example as
Note: Students should have good knowledge in the concept of angles and its types. We must know the definitions of complementary and supplementary angles to solve and find the difference between those angles.
Complete step by step solution:
In mathematics, we can use the sum of the measures of angles to classify angles as various types. That is, if the sum of a pair of angles is equal to certain values, then they fall into the categories defined by that sum.
Supplementary angles and complementary angles are defined with respect to the addition of two angles.
If the sum of two angles is \[{{180}^{\circ }}\] degrees then they are said to be supplementary angles, which forms a linear angle together. We have example as
Whereas if the sum of two angles is \[{{90}^{\circ }}\] degrees, then they are said to be complementary angles, and they form a right angle together. We have example as
Note: Students should have good knowledge in the concept of angles and its types. We must know the definitions of complementary and supplementary angles to solve and find the difference between those angles.
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