Can I get the list of the 'types of angles'

Types of Angles

Definition

Figure

Acute Angle

An angle whose measure is less than 90 degrees.

 

Right Angle

An angle whose measure is 90 degrees.

Obtuse angle

An angle whose measure is bigger than 90 degrees but less than 180 degrees. Thus, it is between 90 degrees and 180 degrees.

Straight angle

An angle whose measure is 180 degrees. Thus, a straight angle looks like a straight line.

Reflex angle

An angle whose measure is bigger than 180 degrees but less than 360 degrees.

Adjacent angle

Angle with a common vertex and one common side.  are adjacent angles.

Complementary angle

Two angles whose measures add to 90 degrees. Angle a and angle b are complementary angles because together they form a right angle. 

 

 

   

Supplementary angle

Two angles whose measures add to 180 degrees.

Vertical angle

Angles that have a common vertex and whose sides are formed by the same lines. 

Alternate interior angle

Pairs of interior angles on opposite sides of the transversal. For instance, angle 3 and angle 5 are alternate interior angles. Angle 4 and angle 6 are also alternate interior angles. 

Alternate exterior angle

Pairs of exterior angles on opposite sides of the transversal. 

Angle 2 and angle 8 are alternate exterior angles. 

Corresponding angle

Pairs of angles that are in similar positions. 

Angle 6 and angle 2 are corresponding angles. 

Angle 5 and angle 1 are corresponding angles

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following are the types of angles-

acute angle-------- less than 90 degrees

obtuse angle    -  more than 90 degrees

right angle    -  90 degrees

straight angle    -   180 degrees

reflex angle      -  between 180 and 360 degrees

complete angle   -  360 degrees

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Acute angle:

An angle whose measure is less than 90 degrees. The following is an acute angle.

Acute-angle-image

Right angle:

An angle whose measure is 90 degrees. The following is a right angle.

Right-angle-image

Obtuse angle:

An angle whose measure is bigger than 90 degrees but less than 180 degrees. Thus, it is between 90 degrees and 180 degrees. The following is an obtuse angle.

Obtuse-angle-image

Straight angle

An angle whose measure is 180 degrees.Thus, a straight angle look like a straight line. The following is a straight angle.

Straight-angle-image

Reflex angle:

An angle whose measure is bigger than 180 degrees but less than 360 degrees.The following is a reflex angle.Reflex-angle-image

Adjacent angles:

Angle with a common vertex and one common side. <1 and <2, are adjacent angles. Adjacent-angle-image

Complementary angles:

Two angles whose measures add to 90 degrees. Angle 1 and angle 2 are complementary angles because together they form a right angle.

Note that angle 1 and angle 2 do not have to be adjacent to be complementary as long as they add up to 90 degrees

complemenetary-angle-image

Supplementary angles:

Two angles whose measures add to 180 degrees. The following are supplementary angles.

Supplementary-angle-image

Vertical angles:

Angles that have a common vertex and whose sides are formed by the same lines. The following(angle 1 and angle 2) are vertical angles.

Verical-angle-image

When two parallel lines are crossed by a third line(Transversal), 8 angles are formed. Take a look at the following figure

Transverlines-image

Angles 3,4,5,8 are interior angles

Angles 1,2,6,7 are exterior angles

Alternate interior angles:

Pairs of interior angles on opposite sides of the transversal.

For instance, angle 3 and angle 5 are alternate interior angles. Angle 4 and angle 8 are also alternate interior angles.

Alternate exterior angles:

Pairs of exterior angles on opposite sides of the transversal.

Angle 2 and angle 7 are alternate exterior angles.

Corresponding angles:

Pairs of angles that are in similar positions.

Angle 3 and angle 2 are corresponding angles.

Angle 5 and angle 7 are corresponding angles

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