Definition
Angle
An angle is formed by two rays with the same endpoint; its measure tells the turn from one ray to the other.
Continue from this idea into connected AXIO math.
What it means
Picture two clock hands joined at the centre. The opening between them shows the angle. Make either hand longer or shorter and the angle stays the same; only changing the turn changes its measure.
Remember it
Think turn, not arm length: the angle is the opening at the shared point.
Example
One ray points right. Turn a second ray a quarter-turn counterclockwise so it points up. The rays form a 90° right angle. Extending either ray leaves the angle at 90°.
Watch for
Two rays must share one endpoint to form this angle. Separate rays do not make one shared vertex.
Common mix-up
Longer rays do not make a bigger angle. Compare the opening or turn, not the drawn lengths.
Exact meaning
An angle is the figure formed by two rays with a common endpoint, called the vertex. Its measure describes the amount of rotation from one ray to the other and does not depend on how long the rays are drawn.