Angles

Names of angles and angle measurements.

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Degree and radian measure Degree and radian measure in the unit circle.
Geometry of triangle Calculating side lengths or angles in right-angled or general triangles.

Study Angles

What is an angle?

Angle between two half-lines (also called rays)

angle = measurement of rotation

angle measurements: degree or radian

Theorem 1. The sum of the interior angles in a triangle is always \(180^\circ\) (radian \(\pi\)).

Names of angles

image full angle half lines overlap \(360^\circ\)
image straight angle half lines form a straight line \(180^\circ\)
image right angle half the size of straight angle \(90^\circ\)
image acute angle smaller than right angle
image obtuse angle bigger than right angle, but smaller than straight angle
image reflex angle bigger than straight angle

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