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An angle is the region of a plane between two rays that share a common origin. The rays are called arms and the common origin is the vertex. To measure angles, the unit degree (º) is most frequently used.

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Intasar
£36
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1st lesson free!  5 (17 reviews)
Matthew
£25
/h
1st lesson free!  4.9 (13 reviews)
Paolo
£25
/h
1st lesson free!  4.9 (7 reviews)
Dr. Kritaphat
£49
/h
1st lesson free!  5 (28 reviews)
Ayush
£60
/h
1st lesson free!  4.9 (9 reviews)
Petar
£27
/h
1st lesson free!  5 (14 reviews)
Farooq
£40
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1st lesson free!  5 (9 reviews)
Tom
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## Acute Angle An acute angle measures between and 90º.

## Right Angle A right angle measures exactly 90º.

## Obtuse Angle An obtuse angle measures between 90º and 180º.

## Straight Angle A straight angle measures exactly 180º.

## Reflex Angle An reflex angle measures between 180º and 360º.

## Negative Angle A negative angle measures less than 0º.

Negative angles rotate in a clockwise direction.

A negative angle can be transformed into a positive angle by adding 360º to it.

−30º = 360º − 30º = 330º

## Congruent Angles Congruent angles have the same measure.

## Adjacent Angles Adjacent angles have a common side and a common vertex.

## Complementary Angles Complementary angles sum 90°.

## Supplementary Angles Supplementary angles sum 180°.

## Vertical Angles or Opposite Angles The vertical angles share the common vertex and the sides of one are an extension of the sides of the other.

The angles 1 and 3 are equal.

The angles 2 and 4 are equal.

## Corresponding Angles The angles 1 and 2 are equal.

## Alternate Interior Angles The angles 2 and 3 are equal.

## Alternate Exterior Angles The angles 1 and 4 are equal.

## Operations with Angles

### Adding Angles

The sum of two angles is another angle whose amplitude is the sum of the amplitudes of the two initial angles. ### Subtracting Angles

The subtraction of two angles is another angle whose amplitude is the difference between the amplitude of the higher angle and the lower angle. ### Multiplying an Angle by a Number

Multiplying a number by an angle is another angle whose amplitude is the amplitude of the angle multiplied by as many times as specified by the number. ### Dividing an Angle by a Number

The division of an angle by a number is another angle that is multiplied by this number and gives the original angle. :4 = Need a Maths teacher?

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.