Classifying angles — acute, right, obtuse and straight

Classifying angles — acute, right, obtuse and straight

Classifying angles

When you look at an angle you can name it by how big it is, even without measuring exactly. Year 4 uses four main names.

The four families

NameSizeWhat it looks like
acuteless than 90°a sharp, narrow opening
rightexactly 90°a square corner
obtusebetween 90° and 180°wide open, but not flat
straightexactly 180°a straight line

How to spot a right angle

A right angle is the special one. Tip: any square corner is a right angle — the corner of a book, a piece of paper, a window. Hold the corner up to the angle you are checking. If they match, the angle is right. If it falls inside the corner, the angle is acute. If the corner falls inside the angle, it is obtuse.

We usually mark a right angle with a small square at the vertex, not a curved arc.

Three angles side by side: acute (sharp), right (with small square), obtuse (wide)

Quick checks without a protractor

  • Is the angle smaller than a square corner? → acute.
  • Does the angle exactly match a square corner? → right.
  • Is the angle bigger than a square corner but you can still see two separate arms? → obtuse.
  • Are the two arms in a perfect line? → straight.

Less common names (you'll hear them later)

  • A reflex angle is bigger than 180° but less than 360° (the "outside" of an obtuse angle).
  • A full angle is exactly 360° — one complete spin back to the start.

You don't have to use these names in Year 4, but it's good to know they exist.

What's next

Try it out