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What is meant by angle? Explain the types of angles.
Angle:
An angle is made up of two rays starting from a common initial point.
The two rays forming the angle are called the arms or sides of the angle.
The common initial point is the vertex of the angle.
Acute angle:
The angle that is between 0° and 90° is an acute angle, ∠A in the figure below.
Obtuse angle:
The angle that is between 90° and 180° is an obtuse angle, ∠B as shown below.
Right angle:
The angle that is 90° is a Right angle, ∠C as shown below.
Straight angle:
The angle that is 180° is a straight angle, ∠AOB in the figure below.
Supplementary angles:
In the figure above, $∠AOC + ∠COB = ∠AOB = 180°$
If the sum of two angles is 180° then the angles are called supplementary angles.
Two right angles always supplement each other.
The pair of adjacent angles whose sum is a straight angle is called a linear pair.
Complementary angles:
In the above figure, $∠COA + ∠AOB = 90°$
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