Different Types of Angles

Different Types of Angles
Beautiful and useful blog on different types of angles, useful for the students of 5th onword . Complete knowledge about different types of angles in mathematics

Different Types of Angles

Zero Angle:- Angle of 0^o is called zero angle. 

Acute angle :- Angle greater than 0^o but less than 90^o is called acute angle.

Right Angle:- Angle of 90^o is called right angle.

Obtuse Angle:- Angle greater than 90^o but less than 180^o is called obtuse angle.

Straight Angle :- Angle of 180^o is called straight angle.

Different Types of Angles

Reflex angle :- Angle greater than 180^o but less than 360^o is called reflex angle.

Complete angle:- Angle of 360^o is called complete angle.

Linear Pair of Angles:- 
When sum of two adjacent angles is  180^o, then pair of angles is called  a linear pair of angles .

Adjacent Angles:- 
Two angles with one common arm are called adjacent angles.

Complementary Angles :- 
If sum of any two angles is 90^o then angles are called complementary angles.

Different Types of Angles

Supplementary Angles:-
 If sum of any two angles is 180^o then angles are called supplementary angles.

Vertically Opposite Angles:- 
When two lines intersect each other then vertically opposite angles are formed. Vertically opposite angles are always equal.

Different Types of Angles

Parallel Lines and Angles

When two or more parallel lines are intersected by a transversal then :-

Alternate angles are equal:- \[\angle 3=\angle 5,\: \: \: \angle 4=\angle 6\]
Corresponding angles are equal:-  \[\angle 1=\angle 5,\: \: \: \angle 2=\angle 6,\: \: \: \angle 3=\angle 7,\:\: \: \angle 4=\angle 8\]
Alternate Exterior Angles are Equal:-  \[\angle 1=\angle 7,\: \: \: \angle 2=\angle 8\]
 Co - interior Angles are Supplementary :- \[\angle 4+\angle 5=180^{o},\: \: \: \angle 3+\angle 6=180^{o}\]
Vertically Opposite angles are equal:- \[\angle 1=\angle 3,\: \: \angle 2=\angle 4,\: \: \angle 5=\angle 7,\: \: \angle 6=\angle 8\]

Different Types of Angles

Sum of three angles of a triangle is 180^o

Exterior angle of a triangle is equal to the sum of interior opposite  angles.

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