math

Also: the letter "A" has an acute angle.

Be Careful What You Measure


angle obtuse vs reflex
The smaller angle is an Obtuse Angle,
but the larger angle is a Reflex Angle

So when naming the angles make sure that you know which angle is being asked for!

Positive and Negative Angles


When measuring from a line:

  • a positive angle goes counterclockwise (opposite direction that clocks go)
  • a negative angle goes clockwise

positive negative angle

Example: −67°

negative 67 degrees

angle 

Parts of an Angle


The corner point of an angle is called the vertex

And the two straight sides are called arms

The angle is the amount of turn between each arm.



How to Label Angles


angles

There are two main ways to label angles:

1. give the angle a name, usually a lower-case letter like a or b, or sometimes a Greek letter like α (alpha) or θ (theta)

2. or by the three letters on the shape that define the angle, with the middle letter being where the angle actually is (its vertex).

Example angle "a" is "BAC", and angle "θ" is "BCD"



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