What is an Angle? Describe Different Types Of Angles.

Angle

A figure formed by two rays is called Angle.Rays are the sides of the angle, sharing a common end point, called the vertex of the angle.There are many types of angles given below:

Vertically Opposite Angle

Those angles which are opposite to each other when two lines cross.X-denotes vertically opposite angle given in the figure below:

Angle

Angle


Supplementary / Linear Pair Angle

Two angles that form a line and the sum of angles is equal to 180°.When two angles are supplementary, each angle is said to be the supplement of the other.

Angle

Corresponding Angle

Two angles that occupy corresponding positions.The angles which occupy the same relative position at each intersection where a straight line crosses two others.
Angle
Angle

Alternate Interior Angle

Alternate Interior Angles are created where a transversal crosses two (usually parallel) lines.Each pair of these angles are inside the parallel lines, and on opposite sides of the transversal. Two angles that lie between parallel lines on opposite sides of the transversal.
Angle

Angle

Alternate Exterior Angle

Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.Two angles that lie outside parallel lines on opposite sides of the transversal.
Angle

Consecutive Interior Angle

The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.
Angle

Acute angle

Acute angles are those angles whose all angles are less than 90 degrees are known as Acute angles

Obtuse angle

Obtuse angles are those angles whose one of the angle is more than 90 degrees are known as Obtuse angles.

Right angle

Right angles in which an angle is exactly 90 degrees and other two angles are equal to the sum of 90 degrees.
 
Angle

Adjacent Angle

Adjacent angles are such that:
  • they have a common vertex;
  • they have a common arm; 
  • the non-common arms are on either side of the common arm.

Such pairs of angles are called adjacent angles.

Angle

Complementary Angle

When the sum of the measures of two angles is 90°, the angles are called complementary angles.Whenever two angles are complementary, each angle is said to be the complement of the other angle

Conjugate Angle:

Two angles whose sum is 360° are called Conjugate Angles.

Angle

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