NAME MEASURE AND CLASSIFY ANGLES

About "Name measure and classify angles"

Name measure and classify angles :

Classifying angles worksheet is much useful to the kids who would like to practice problems on angles. 

In geometry, angles can be classified according to the size.

There are six different types of angles. 

The following table explains "How angles in geometry can be determined visually"

Type of Angle

Description

Determining angle visually  

Acute angle

An angle that is less than 90°

Right angle

An angle that is exactly 90°

Obtuse angle

An angle that is greater than 90° but less than 180°

Straight angle

An angle that is exactly 180°

Reflex angle

An angle that is greater than 180° but less than 360°

Full angle

An angle that is exactly 360°

Complementary angles :

Two angles are said to be complementary to each other if sum of their measures is 90° 

For example, if A = 52° and B = 38°, then angles A and B are complementary to each other.

Supplementary Angles :

Two angles are said to be supplementary to each other if sum of their measures is 180°.

For example, the angles whose measures are 112° and 68° are supplementary to each other.

Transversal

A straight line that intersects two or more straight lines at distinct points is called a transversal.

Suppose a transversal intersects two parallel lines. Then:

Vertically opposite angles :

Vertically Opposite Angles are the angles opposite each other when two lines cross. "Vertical" in this case means they share the same Vertex (corner point), not the usual meaning of up-down.

In the above picture vertically opposite angles are 

 1  =   3  

 2  =   4  

 5  =   7  

 6  =   8 

Corresponding angles :

The angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

In the above picture corresponding angles are,

1  =  5  

2  =  6  

3  =  7  

∠4  =  8  

Alternate interior angles :

Alternate interior angles are congruent. Formally,alternate interior angles are two interior angles which lie on different parallel lines and on opposite sides of a transversal. 

In the above picture alternate interior angles are,

< 3  =  < 5  

< 4  =  < 6  

Alternate interior angles :

Alternate Exterior Angles. When two lines are crossed by another line (called the Transversal): 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.

In the above picture alternate interior angles are,

< 1  =  < 7  

< 2  =  < 8  

Consecutive interior angles :

When two lines are crossed by another line (which is called the Transversal), the pairs of angles: • on one side of the transversal. • but inside the two lines. are called Consecutive Interior Angles.

In the above picture consecutive angles are,

< 3 + < 6  =  180°

< 4 + < 5  =  180°

Name measure and classify angles - Examples

Classify the angles as acute, right, obtuse straight, reflex or full angle  : 

1)   35°  ---> Acute angle

2)   85°  ---> Acute angle

3)   95°  ---> Obtuse angle

4)   135°  ---> Obtuse angle

5)   205°  ---> Reflex angle

6)   180°  ---> Straight angle

7)   90°  ---> Right angle

8)   360°  ---> Full angle

9)   15°  ---> Acute angle

10)   270°  ---> Reflex angle

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